ROBERT S. DORAN

The John William and Helen Stubbs

Potter Professor of Mathematics

Texas Christian University

Fort Worth, Texas 76129

(817) 257-7335

r.doran@tcu.edu

http://www.math.tcu.edu/

 

 

 

Education:

 

      University of Iowa, B. A. (1962); M. S. (1964)

      University of Washington, M. S. (1967); Ph.D. (1968)

      Ph.D. Thesis: Representations of C*-algebras by uniform CT-bundles and operator theory.  Thesis Advisors: Professors R. A. Gangolli and J. M. G. Fell

 

Military Service:

 

      U. S. Army Special Forces, 82nd Airborne Division; Instructor, U. S. Army Jungle Survival School, Colón, Panama (1956-1958)

 

Mathematical Specialties:

 

      Functional Analysis, Banach Algebras & Bundles, Operator Algebras, Abstract Harmonic Analysis, Representations of Locally Compact Groups, Approximate Identities and Factorization in Banach Modules.

 

Academic Honors:

                                          Phi Beta Kappa

                                          Sigma Xi Scientific Honor Society

                                          Pi Mu Epsilon Mathematics Honor Society

                                          Golden Key Honor society

 

Academic Appointments: Texas Christian University, August 1969. Assistant professor 1969-72; Associate Professor 1972-79; Professor, since 1979 - ; appointed Potter Professor 1995.  Chair, Mathematics Department, since 1990 - 

 

                                           

Visiting Academic Appointments:

 

(a)     UNIVERSITY OF OXFORD, Mathematical Institute, Oxford, England (Senior Visiting Scholar, Fall, 1988, Queens College, Oxford).

 

(b)    INSTITUTE FOR ADVANCED STUDY (IAS), Princeton, N.J. (Member, 1981; Director Western Region, 1984;  Board of Trustees Association of Members IAS (AMIAS) since 1986; President of the AMIAS Institute Board, 1990 -1999)

 

(c)        MASSACHUSETTS INSTITUTE OF TECHNOLOGY (MIT Scholar, 1981).

 

 

(d)     UNIVERSITY OF TEXAS, Austin (Visiting Professor 1979; 1980).

 

Honors and Awards:

 

 

CASE-CARNEGIE National Gold Medalist, 1989

 

CASE-CARNEGIE Texas Professor of the Year, 1989

 

MAA Texas Professor of the Year, 1992  (Mathematical Association of America)

 

Minnie Stevens Piper Professor, 1989 (Texas Statewide award)

 

 

Chancellor’s Distinguished Teaching Award at TCU, 1988

 

 

 

The TCU Honors Professor of the Year, 1993

Burlington Northern Foundation Faculty Achievement Award 1986

 

 

 

Lester Hook Phi Beta Kappa National Award 1991 (TCU Chapter nominee).

 

Chancellor’s Award for Distinguished Research 1993 (Natural Science Representative)

 

Chancellor’s Award for Distinguished Research 1991 (Natural Science Representative)

 

 

Teaching Excellence Award, TCU House of Representatives (three times 1987, 1991, 1993)

 

TCU Top Ten Professor, Teaching Excellence Award (twice, 1986, 1988)

 

Mortar Board Preferred Professor (six times, 1986, 1987,1994, 1995, 1996, 1998)

Lambda Chi Alpha Professor of the Year (twice, 1992, 1993)

 

 

Tom Brown-Jarvis Outstanding Teacher (twice, 1973, 1978)

 

Minnie Stevens Piper Professor Nominee for TCU (1987)

 

Natural Science Nominee, Chancellor’s Award for Distinguished Teaching, (three times, 1984, 1986 and 1988)

Tom Brown-Jarvis Outstanding Teacher Award, 1973, 1978

Panhellenic Council Professor, 1996

 

Brachman Professor, 1975

 

Mathematics Department Nominee, Chancellor’s Award for Distinguished Research (four times 1985, 1987, 1991 and 1993)

 

Marquis Who’s Who in the World

 

Marquis Who’s Who in America

 

Marquis Who’s Who in the South and Southwest

 

Marquis Who’s Who in Science and Engineering

 

Marquis Who’s Who in Education

American Men and Women of Science

 

Who’s Who Cambridge Biographical Institute

 

Board of Trustees, Institute for Advanced Study, Princeton, Association of Members, 1986; president of the Board, 1990-1999

 

President, TCU Chapter Sigma Xi, 1983-1984

Phi Beta Kappa (President of TCU chapter 1989-1992)

 

Golden Key National Honor society

 

The John William and Helen Stubbs Potter Professor of Mathematics, since 1995.

 

 

 

Research articles and books:

 

 

Group representations, ergodic theory, and mathematical physics, Editor with C. C. Moore and R. J. Zimmer, 451 pages, Volume 449,  Contemporary Mathematics, American Mathematical Society, Providence, R. I. 2008. (book)

 

George W. Mackey (1916 – 2006), with Arlan Ramsay, Notices of the American Mathematical Society, 54 (2007), 824 – 850.

 

 Operator algebras, quantization, and non-commutative geometry, Volume 365,

 Editor with  R. V. Kadison, 422 pages, Contemporary Mathematics, American

 Mathematical Society, Providence, R. I. 2004. (book)  

 

 The Mathematical Legacy of Harish-Chandra.  Editor with V. S. Varadarajan, 551pages, Volume 68, Proceedings of the Symposia for Pure Mathematics, American Mathematical Society, Providence, R. I., 2000. (book)

 

Automorphic forms, automorphic representations, and arithmetic. I.   Editor with Z. Dou and G. Gilbert, 278 pages, Volume 66, Part I, Proceedings of the Symposia for Pure Mathematics, American Mathematical Society, Providence, R. I., 1999. (book)

 

Automorphic forms, automorphic representations, and arithmetic. II.   Editor with Z. Dou and G. Gilbert, 330 pages, Volume. 66, Part II, Proceedings of the Symposia for Pure Mathematics, American Mathematical Society, Providence, R. I., 1999. (book)

 

C*-algebras: 1943-1993 (A fifty year celebration), Editor, 401 pages, Vol. 167, Contemporary Mathematics, American Mathematical Society, Providence, R. I., 1994. (book)

 

Self-adjoint and non-selfadjoint operator algebras and operator theory , Editor, 217 pages, Vol. 120, Contemporary Mathematics, American Mathematical Society, Providence, R. I., 1990. (book)

 

Weak and strong continuity in topological spaces: Generalizations of continuity and preservation of topological properties, J. of Undergraduate Mathematics,

 22 (1990), 27-28.

 

Pure state characterizations of P-commutative Banach *-algebras, Manuscripta Mathematica, 61 (1988), 43-47 (with W. Tiller).

 

A CARE PACKAGE for undergraduate mathematics students, Mathematics in College,  Fall/Winter (1988), 32-37.

 

Representations of *-algebras, locally compact groups, and Banach *-algebraic bundles,  Vol.1 (General representation theory of groups and algebras, 747 pages), Pure and Applied Mathematics #125, Academic Press, New York, 1988  (with J. M. G. Fell). (book)

 

Representations of *-algebras, locally compact groups, and Banach *-algebraic   bundles, Vol. 2 (Banach *-algebraic bundles, induced representations, and the     generalized Mackey analysis,  763 pages), Pure and Applied Mathematics #126,  Academic Press,  New York, 1988 (with J. M. G. Fell). (book)

 

Characterizations of C*-algebras: The Gelfand-Naimark Theorems, Vol. 101, Pure and Applied Mathematics, (440 pages), Marcel-Dekker Publishing Company, 1986 (with V. A. Belfi). (book)

 

P-Commutativity of the Banach algebra L1(G)**, Manuscripta Mathematica 43 (1983), 85-89 (with W. Tiller).

 

History of functional analysis, J. Dieudonné, Bulletin of the American Mathematical Society 7 (1982), 403-409.

 

Continuity of the involution in a Banach *-algebra, Tamkang Journal of Mathematics 13 (1982), 87-90 (with W. Tiller).

 

Extensions of pure positive functionals on Banach *-algebras, Proceedings of the American Mathematical Society 82 (1981), 583-586 (with W. Tiller).

 

Norm and spectral characterizations in Banach algebras, L’Enseignement Mathématique 26 (1980), 103-130 (with V. A. Belfi).

 

An application of idempotents in the classification of complex algebras, Elemente der Mathematik 35 (1980), 16-17.

 

Does there exist a Banach *-algebra without identity with no nonzero positive functionals?, American Mathematical Monthly 87 (1980), 474-475.

 

Approximate identities and factorization of Banach modules, Lecture Notes in Mathematics #768, Springer-Verlag Publishing Company, 305 pages, Heidelberg-New York London, 1979 (with Josef Wichmann). (book)

 

The Gelfand-Naimark Theorems in C*-algebras, L’Enseignement Mathématique 23 (1977), 153-180 (with Josef Wichmann).

 

A generalization of a theorem of Civin and Yood on Banach *-algebras, Bulletin of the London Mathematical Society  4 (1972), 25-26.

 

Does there exist more than one Banach *-algebra with discontinuous involution?, American Mathematical Monthly 79 (1972), 762-765.

 

A theorem which is equivalent to the axiom of choice, Elemente der Mathematik 27 (1972), 127.

 

An integral inequality, Mathematics Magazine 44 (1971), 267.

 

If  A  is a symmetric *-algebra, is Ae symmetric?, American Mathematical Monthly 78 (1971), 178-179.

 

Representations of C*-algebras by Uniform CT-bundles, Proceedings of the  Texas Academy of Science 13 (1970), 147-156.

 

On the cardinality of the alternating group, Niew Archief (3), 19 (1970), 171.

 

Commuting elements in a free group, Niew Archief (1), 19 (1970), 78-79.

 

A noncompact uniform space, American Mathematical Monthly 74 (1967), 89-90.

 

Harmonic analysis and derivations on P-commutative Banach *-algebras, Notices of the American Mathematical Society 31(1984), January.

 

An integral representation theorem, Notices of the American Mathematical Society 26 (1979), 471.

 

Essential subspaces in the dual of a Banach space, Notices of the American Mathematical  Society 26 (1979), 100.

 

Construction of uniform CT-bundles, Notices of the American Mathematical Society 5 (1968), 551.

 

Representations of C*-algebras by uniform CT-bundles and operator theory,

Ph.D. Dissertation, 1968, University of Washington, Seattle, Washington, 128 Pages.

 

Technical Reports.  TCU Mathematics Department

 

1.  P-commutative Banach *-algebras, (1988), 35 pages.

 

2.   Spectral algebras, (1988), 43 pages.

 

3.  Group algebras of locally compact groups, (1987), 71 pages.

 

4.  Induced representations of locally compact groups, (1986), 130 pages.

 

5.  C*-algebras, (1984), 213 pages.

 

6.  Norm and spectral conditions in Banach algebras, (1980), 64 pages.

 

7.  Lectures on Banach algebras, (1975), 385 pages.

 

8.  Operators in Hilbert space, (1974) 160 pages (dittoed lecture notes).

 

9.  Lectures on functional analysis, (1973), 242 pages.

 

10. Ergodic theory and group representations, (1972), 116 pages.

 

 

11. Characterizations of normed algebras with multiplicative norms, (1972), 33 pages.

 

12.   Lectures on mathematical analysis  (1988), 212 pages.

 

13.   Math skills part of formula for success, February 26, 1998.

 

 

Papers, participation on panels, etc. at scholarly meetings & colloquia:

 

Organizer of NSF-CBMS Conference “Topology, C*-algebras, and string duality,” with Greg Friedman, June 2 – 6, 2008.  Jonathan Rosenberg, principal lecturer.

 

Organizer of AMS Special Session: “Group representations, ergodic theory ,and mathematical physics.” (with C. C. Moore and R. J. Zimmer), New Orleans, La., January 7-8, 2007, AMS winter Meeting.

 

Invited keynote speaker, 2003 Jim Bolen Mathematics Award Ceremony, TCC, The Wonder of Mathematical discovery, April 25, 2003, Fort Worth, Texas.

 

  Institute for Advanced Study Conference and Annual Board Meeting, April 4, 2003,  Princeton, New Jersey.

 

 Organizer of AMS Special Session: “Operator Algebras, Quantization, and Non-

  commutative Geometry.” (with R. V. Kadison), Baltimore, MD., January 15-16, 2003,  AMS winter Meeting.

 

Institute for Advanced Study conference and Board Meeting, March 2002, Princeton

New Jersey.

 

Institute for Advanced Study conference and Board Meeting, March 2001, PrincetonNew Jersey.

 

Mathematics Conference Honoring the Memory of Andre Weil, January 8-9, 1999, Institute for Advanced Study, Princeton, New Jersey.

 

Conference Director at the Institute for Advanced Study, President, Board of Trustees, Association of Members of the Institute for Advanced Study, March 14-15, 1988,  Princeton, New Jersey.

 

Organizer and Director of “AMS Special Session “Representation Theory and  Noncommutative Harmonic Analysis Honoring the Memory of Harish-Chandra”, Baltimore, Maryland, January 9-10, 1998.

 

   Invited Speaker, Baylor Mathematics Colloquium, November 13, 1997 at Baylor University, Waco, Texas. 

 

Director of Biennial Conference of the Institute for Advanced Study, President, Board of Trustees, Association of Members of the Institute for Advanced Study, May 14-15, 1997, Princeton, New Jersey.

                  

Organizer and Director of Mathematics Research Conference, Institute for Advanced Study, Princeton, New Jersey, May 21-22, 1996.

    

Invited Keynote speaker,"What makes mathematics so special?" MAA conference, Mathematical Association of America, Stephen F. Austin University, October 7, 1994.

 

Invited speaker, “Solution of a famous unsolved problem,” Parabola meeting, Texas Christian University, September 20, 1994.

 

Master of Ceremonies, Research Conference Twentieth Anniversary Celebration of the Association of Members of the Institute for Advanced Study, Princeton, N. J., May 20-21, 1994.

 

Invited speaker, “Reflections of the 1992 MAA Texas Professor of the Year,” Spring meeting, Texas Section of the MAA, Abilene, Texas April 3, 1993.

 

Invited speaker, “One of America’s great mathematicians: Marshall H. Stone,” Parabola meeting, TCU, March 24, 1993.

 

Organizer and director of Special Session entitled “C*-algebras 1943-1993 (A fifty year celebration),” combined AMS-MAA winter meeting, San Antonio, Texas, January 13-16, 1993.

 

American Mathematical Society Library Committee Panel Discussion, “The high cost of periodicals,” AMS meeting, San Antonio, Texas, January 14, 1993.

 

Invited speaker, “Axioms for C*-algebras, symmetric algebras, and a problem of Kaplansky,” University of Texas, Arlington, November 4, 1992.

 

MAA meeting, University of Houston, Recipient of 1992 MAA Texas Professor of the Year award, Houston, Texas, April 9-11, 1992.

 

Program, Deane Montgomery Memorial Service, Institute for Advanced Study, Princeton, New Jersey, October 19, 1992.

 

Invited speaker, “Marshall H. Stone—Mathematician and Friend of the Institute,” Spring meeting, 9th biennial AMIAS Conference Lectures, Institute for Advanced Study, May 21-22, 1992.

 

Spring meeting, Institute for Advanced Study, Princeton, May 23-24, 1991,

President of the Board, “Board of Trustees Meeting,” AMIAS, 1991.

 

Invited One Hour speaker, “M. H. Stone, the man and his mathematics,” Great Plains Operator Theory Conference, Texas A & M University, College Station, May 15-18, 1991.

 

Invited speaker, “The beauty of Mathematics,” University of Dallas, Irving, Texas, April 23, 1991.

 

Contributed paper, “Continuity of the involution in Banach *-algebras,” Spring Meeting, Texas Section Mathematical Association of America, April 8, 1991, Nacogdoches, Texas.

 

Invited speaker, TCJC Cornerstone Honors Program, “Mathematics—its meaning and significance,” February 25, 1991, TCJC, South Campus, Fort Worth, Texas.

 

Invited speaker, “Adventures into the infinite,” Trinity Valley High School, Fort Worth, November 12, 1990.

 

Invited speaker, “What do mathematicians do?,” Southwest High School, Fort Worth, November 19, 1990.

 

Invited speaker, “Varieties of mathematical experience,” Fort Worth Country Day High School, November 28, 1990.

 

Director and organizer, National Science Foundation, “Coordinates in operator algebra: Groupoids and categories, their representations and applications,” NSF-CBMS Regional Conference, Dr. Paul Muhly, May 20-26, 1990, Texas Christian University, Fort Worth, Texas, Grant Number NSF #524460.

 

Invited speaker: “Award winning teaching: Reflections of a Piper Professor and CASE Gold Medalist,” Spring Meeting, MAA, April 6, 1990, University of North Texas, Denton, Texas.

 

Director and Organizer of AMS Special Session, “Group Representations and Operator Algebras,”  Louisville, Kentucky, January 17-20, 1990.

 

Contributed paper, “A survey of the theory of P-commutative Banach *-algebras,” MAA, Texas Section Spring Meeting, April 8, 1989.

 

Invited speaker, “Axioms for C*-algebras: A solution to a problem of Kaplansky,” Oxford Functional Analysis Seminar, University of Oxford, October 18, 1988.

 

Invited speaker, “The structure of C*-algebras and symmetric *-algebras,” Seminar, King’s College, University of London, November 3, 1988.

 

Invited speaker, “Characterizations of C*-algebras: From Gelfand-Naimark to Dauns-Hofmann and beyond,” University of Edinburgh, Edinburgh, Scotland, November 28, 1988. (Functional Analysis Seminar).

 

Invited speaker: “Symmetric *-algebras: Old and new problems,” University of Glasgow, Glasgow, Scotland, November 29, 1988. (Functional Analysis Seminar).

 

Invited speaker, “Spectral algebras: A new generalization of Banach algebras,” Yorkshire Functional Analysis Group, University of Sheffield, Sheffield, England, December 13, 1988. (Functional Analysis Seminar).

 

Contributed paper, “The Peter-Weyl Theorem for compact groups,” Spring Meeting, Texas Section Mathematical Association of America, April 15, 1988, Trinity University, San Antonio, Texas.

 

Parabola Mathematics Club speaker, “The ABC’s of the CBS inequality,” January 19, 1988, TCU Mathematics Club.

 

Parabola Mathematics Club speaker, “Mathematics made difficult: A look at lines through the origin,” September 20, 1988, TCU Mathematics Club.

 

Invited participant, Great Plains Operator Theory Seminar, Conference. Topic: “K-Theory in operator algebras,” University of Kansas, Lawrence, Kansas, May 27-30, 1987.

 

Spring meeting, Institute for Advanced Study, Princeton, May 20-23, 1987. “Board of Trustees of AMIAS,” 1987.

 

Invited one hour speaker, “Axioms for C*-algebras: Flying by Instruments,” Mathematical Association of America, Annual Spring Meeting, Texas Section, April 2-4, 1987, Tarleton State University, Stephenville, Texas.

 

INTERNATIONAL CONGRESS OF MATHEMATICIANS, August 2-11, 1986, University of California, Berkeley, California.

 

Invited participant, Institute for Advanced Study, Princeton, May 14-19, 1986. “Twelfth Anniversary of the Association of Members of the Institute for Advanced Study.”

 

Invited participant, MATHEMATICAL SCIENCES RESEARCH INSTITUTE, Berkeley, California, May 21-23, 1985.  Group Representation Conference in Honor of Professor George W. Mackey of Harvard University.

 

Contributed paper, American Mathematical Society, Annual Winter Meeting, Louisville, Kentucky, January 28, 1984.  “Harmonic Analysis and Derivations of 

P-commutative  Banach *-Algebras.”

 

Chairman, “Session on Banach algebras,” Winter Meeting, American Mathematical Society, January 28, 1984, Louisville, Kentucky.

 

Contributed paper, Mathematical Association of America, Annual Spring Meeting, Texas Section, April 6-7, 1984, University of Texas at Tyler, Tyler, Texas. “Decompositions of Operators with Closed Range.”

 

Invited speaker, Parabola Mathematics Club, Texas Christian University, March 27, 1984.“Mathematical Axioms: Why do we use them?”

 

Invited speaker, In-Service Institute for High School Mathematics Teachers, Birdville Independent Public Schools, October 20, 1983.  “Optical Illusions and Mathematics.”

 

Invited participant, Great Plains Operator Theory Seminar, “Recent Developments in Operator Algebras.”  Conference Topic: “The theory and applications of completely positive maps and completely bounded maps,” University of Colorado, Boulder, Colorado, June 1-3, 1983.

 

Contributed paper, Mathematical Association of America, Annual Spring Meeting, Texas Section, April 8, 1983.  “Axioms for C*-algebras: A survey from 1943 to 1983.”

 

Invited speaker, High School Mathematics Club, Irving High School, Irving, Texas, February 8, 1983.  “Paradoxes and Infinity: Some surprising results.”

 

Invited speaker, Institute for Advanced Study, Princeton, (Bi-annual Conference), June 1-3, 1982.  Topic: “Problems in Symmetric *-Algebras.”

 

Invited participant, National Science Foundation (CBMS) Conference on: “Automorphism Groups of von Neumann Algebras and the Structure of Factors,” University of Iowa, Iowa City, Iowa, April 26-30, 1982.

 

Contributed paper, Mathematical Association of America, Annual Spring Meeting, Texas Section, April 2, 1982, Lamar University, Beaumont, Texas.  “The Banach Algebra L1 (G)** is P-commutative.”

 

Colloquium Speaker, TCU Department of Mathematics, January 21, 1982, “Recent Research on Symmetric and Hermitian *-algebras.”

 

Invited speaker, Harvard-Massachusetts Institute of Technology Mathematics Colloquium, March 12, 1981, Massachusetts Institute of Technology, Cambridge, Massachusetts.  Topic: “Extensions of Pure States.”

 

Invited Speaker, Texas A & M Mathematics Colloquium, Texas A & M University, College Station, Texas, February 14, 1980.  Topic: “Symmetric *-Algebras: A Solution to a Problem of Kaplansky.”

 

Colloquium Speaker, Texas Christian University, Department of Mathematics, January 24, 1980.  Topic: “A Generalized Schwarz Inequality.”

 

Director & Organizer, by invitation of the American Mathematical Society, of AMS SPECIAL SESSION entitled “C*-Algebras and Operator Theory,” Annual Winter Meeting of the Society, January 3, 1980, San Antonio, Texas.

 

Invited participant, “Scottish Book (Mathematical) Conference,” May, 1979, North Texas State University, Denton, Texas.

 

Invited Speaker, Texas Academy of Science, University of Texas, Arlington, Texas, March 10, 1979.  Topic: "Polar Decomposition in C*-algebras."

 

Invited Speaker, Castleberry Mathematics Club, Fort Worth, Texas, October 17, 1979.  “Some exciting and remarkable theorems in mathematics.”

 

Colloquium Speaker, University of Texas, Arlington, 1977, August.  Topic: “Automatic Continuity of Positive Linear Functionals on Banach *-Algebras.”

 

Contributed paper, Mathematical Association of America, Annual Spring Meeting, Texas Section, April, 1976.  Topic: “Characterizations of Normed Algebras.”

 

Colloquium Speaker, University of Texas, Arlington, 1974, March 5.  Topic: “The Functional Calculus in Banach Algebras: A Power Package.”

 

Invited Speaker, University of Texas, Austin, Mathematics Colloquium, February 19, 1973. Topic: “Axioms for C*-Algebras and Related Problems.”

 

Invited Speaker, Kansas State University Mathematics Colloquium, Manhattan, Kansas, March 29, 1973.  Topic: “The Remarkable Gelfand-Naimark Theorems for C*-Algebras.”

 

Colloquium Speaker, University of Northern Iowa, September, 1973.  Topic: “Bundles in Functional Analysis: How They Are Used?”

 

Colloquium Speaker, University of Texas, Arlington, March 5, 1973.  Topic: “Continuity and discontinuity of linear operators.”

 

Colloquium Speaker, TCU Department of Mathematics, November 22, 1973.  Topic:

“Representations in fiber bundles: An Introduction.”

 

Chairman, “Abstract Harmonic Analysis Session,” American Mathematical Society, Annual Winter Meeting, January, 1973, San Francisco, California.

 

Colloquium Speaker, TCU Department of Mathematics, February 10, 1972.  Topic: “Continuity in Banach Algebras.”

 

Director and Organizer of Week-long RESEARCH CONFERENCE at TCU.  Topic of Conference: “Statistical Mechanics and Ergodic Theory.” June, 1972.  Invited Lecturer: Dr. George W. Mackey, Walker Ames and Landon D. Clay Professor of Mathematics, Harvard University.  Conference Supported by TCU/RF-Grant #M7121.

 

Contributed paper, American Mathematical Society, Annual Winter Meeting, January, 1971. Topic: “The Structure of C*-Algebras in Uniform CT-bundles.”

 

Invited participant, INTERNATIONAL CONFERENCE ON ABSTRACT HARMONIC ANALYSIS, University of Maryland, College Park, Maryland, November 7-12, 1971.

 

Associate Director of NSF-CBMS Regional Conference, Ten Problems in Hilbert Space,  Principal Lecturer: Dr. Paul Halmos, June, 1970, Texas Christian University, Fort Worth, Texas.

 

Contributed paper, American Mathematical Society, Annual Winter Meeting, January, 1969, New Orleans, Louisiana.  Topic: “Construction of Uniform CT-bundles.”

 

Invited Speaker, Iowa Academy of Science, Iowa Section of the Mathematical Association of America, Cedar Falls, Iowa, April, 1969.  Topic: “Representations of C*-Algebras.”

 

Colloquium Speaker, University of Washington, Seattle, Washington, May, 1968.  Topic: “Bundles and Representations of C*-Algebras.”

 

Participant, FUNCTIONAL ANALYSIS SYMPOSIUM, Battelle Institute, 1968, Seattle, Washington.  Topic: “Representations of locally compact groups and von Neumann algebras.”

 

Invited Speaker, Fort Worth Public School In-Service Institute for High School Mathematics Teachers, Western Hills High School, Fall, 1975.  “What Makes a Good Teacher?”

 

Invited Speaker, Fort Worth Public School In-Service Institute for High School Mathematics Teachers, Western Hills School, Fall, 1974.  “The Universal Language: Is it Mathematics?”

 

 

 

Creative activity related to the profession:

 

Reviewer for Mathematical Reviews (a partial listing follows)

 

 

MR2334032 Abilov, Yusuf; Ać\i kgöz, Mehmet On some properties of Banach spaces and Banach algebras. Int. Math. Forum 2 (2007), no. 21-24, 1193--1206. (Reviewer: Robert S. Doran) 46B20 (46H05)

 

MR2305987 (2007m:46081) Gaur, A. Banach $*$-algebras, $B\sp *$-seminorms, and positive functionals. J. Math. Anal. Appl. 331 (2007), no. 1, 51--61. (Reviewer: Robert S. Doran) 46K05 (46H05)

 

MR2294698 (2007j:46078) As'ad, As'ad Y. Some remarks of centrality in a nonunital complex Banach algebra. Southeast Asian Bull. Math. 30 (2006), no. 6, 1009--1015. (Reviewer: Robert S. Doran) 46H05 (46J05)

 

MR2287226 (2007j:46082) Choukri, R.; El Kinani, A.; Oukhouya, A. AlgŹbres ą poids généralisées. (French) [Generalized weighted algebras] Rend. Circ. Mat. Palermo (2) 55 (2006), no. 3, 353--359. (Reviewer: Robert S. Doran) 46H20

 

MR2275144 (2007h:46070) Shourijeh, B. Tabatabatie Partial inverse semigroup $C\sp *$-algebra. Taiwanese J. Math. 10 (2006), no. 6, 1539--1548. (Reviewer: Robert S. Doran) 46L05 (46L55 46M20)

 

MR2259909 (2007i:43005) Feizi, E.; Pourabbas, A. On the Hochschild cohomology of Beurling algebras. Bull. Belg. Math. Soc. Simon Stevin 13 (2006), no. 2, 305--318. (Reviewer: Robert S. Doran) 43A20 (46H05 46M20)

 

MR2250755 (2007f:43002) Fendler, Gero; Gröchenig, Karlheinz; Leinert, Michael Symmetry of weighted $L\sp 1$-algebras and the GRS-condition. Bull. London Math. Soc. 38 (2006), no. 4, 625--635. (Reviewer: Robert S. Doran) 43A20 (22D25 46J99 46K05)

 

MR2246118 (2007c:46045) El Kinani, A. Régularité d'une algŹbre $m$-convexe ą poids. (French) [Regularity of a weighted $m$-convex algebra] Bull. Belg. Math. Soc. Simon Stevin 13 (2006), no. 1, 159--166. (Reviewer: Robert S. Doran) 46H05 (46H20)

 

MR2233968 (2007j:43003) Feichtinger, Hans G. Modulation spaces: looking back and ahead. Sampl. Theory Signal Image Process. 5 (2006), no. 2, 109--140. (Reviewer: Robert S. Doran) 43A25 (01A60 43A15 46E30)

 

MR2232705 (2007b:46083) El Kinani, A. On uniform Hermitian $p$-normed algebras. Turkish J. Math. 30 (2006), no. 2, 221--231. (Reviewer: Robert S. Doran) 46K05 (46L05)

 

MR2237734 (2007d:46042) Giotopoulos, Stavros On the ranks of elements of semiprime Banach algebras. Bull. Greek Math. Soc. 49 (2004), 49--55. (Reviewer: Robert S. Doran) 46H05 (46H10 46H20)

 

MR2136412 (2007a:43003) Ebadian, A.; Medghalchi, A. R. Real group algebras. Iran. J. Sci. Technol. Trans. A Sci. 28 (2004), no. 2, 289--298, 315. (Reviewer: Robert S. Doran) 43A20 (46J99)

 

MR2128275 (2006a:43003) Mustafayev, H. S. Functionals on Banach algebras with scattered spectra. Bull. Pol. Acad. Sci. Math. 52 (2004), no. 4, 395--403. (Reviewer: Robert S. Doran) 43A20 (46H05 46J05)

 

MR2194165 (2006i:46071) Mohajeri-Minaei, Gh.; Yazdanpanah, T. Arens regularity of modules.  J. Inst. Math. Comput. Sci. Math. Ser.  18  (2005),  no. 3, 195--197. (Reviewer: Robert S. Doran) 46H20 (46H05)

 

 MR2183403 (2006g:46086) Chigogidze, A.; Karasev, A.; Kawamura, K.; Valov, V. On $C\sp *$-algebras with the approximate $n$-th root property. Bull. Austral. Math. Soc. 72 (2005), no. 2, 197--212. (Reviewer: Robert S. Doran) 46L05 (46L85 54C40)

 

MR2144093 (2006b:46067) Nassopoulos, George F. Duality, uniqueness of topology and automatic continuity of $*$-homomorphisms in bornological locally $C\sp *$-algebras. Topological algebras, their applications, and related topics, 277--282, Banach Center Publ., 67, Polish Acad. Sci., Warsaw, 2005. (Reviewer: Robert S. Doran) 46K05 (18B30 46H40 46M15 54B30)

 

[MR2128275 (2006a:43003) Mustafayev, H. S. Functionals on Banach algebras with scattered spectra. Bull. Pol. Acad. Sci. Math. 52 (2004), no. 4, 395--403. (Reviewer: Robert S. Doran) 43A20 (46H05 46J05)

 

MR2118012 (2005k:46111) Haralampidou, Marina Classification of locally $m$-convex algebras through Le Page condition. Comment. Math. Prace Mat. 44 (2004), no. 2, 255--269. (Reviewer: Robert S. Doran) 46H05 (46H20 46J05)

 

MR2109519 (2005h:46078) Brown, Lawrence G.; Wong, Ngai-Ching Unbounded disjointness preserving linear functionals. Monatsh. Math. 141 (2004), no. 1, 21--32. (Reviewer: Robert S. Doran) 46J10 (46H40 46L05)

 

MR2097952  2005 (Review) Feinstein, Joel F.; Kamowitz, Herbert Compact homomorphisms between Dales-Davie algebras.  Banach algebras and their applications,  81--87, Contemp. Math., 363, Amer. Math. Soc., Providence, RI, 2004. (Reviewer: Robert S. Doran) 46J15 (47B33 47B38 47B48)

 

MR2075743 2005 (Review) Runde, Volker Applications of operator spaces to abstract harmonic analysis. Expo. Math. 22 (2004), no. 4, 317--363. (Reviewer: Robert S. Doran) 43A07 (43-02 43A20 46H20 46H25 47B47 47L25)

 

MR2071245 (2005d:46100) Esslamzadeh, G. H. Double centralizer algebras of certain Banach algebras. Monatsh. Math. 142 (2004), no. 3, 193--203. (Reviewer: Robert S. Doran) 46H05 (46H10)

 

MR2070459 (2005b:46101) Haralampidou, Marina A local characterization of Le Page condition. Dayton algebras. Acta Univ. Oulu. Ser. A Sci. Rerum Natur. No. 408 (2004), 100--106. (Reviewer: Robert S. Doran) 46H05 (46M40)

 

[MR2070457 (2005d:46110) Fragoulopoulou, Maria Measure-theoretic characterizations of positive linear forms. Acta Univ. Oulu. Ser. A Sci. Rerum Natur. No. 408 (2004), 70--85. (Reviewer: Robert S. Doran) 46K05 (46A32 46H05)

 

MR2053979 (2005b:46063) Moreno, E.; Villena, A. R. Uniqueness of dilation invariant norms. Proc. Amer. Math. Soc. 132 (2004), no. 7, 2067--2073 (electronic). (Reviewer: Robert S. Doran) 46E30 (46H40)

 

MR2040876 (2004m:20017) Dokuchaev, M.; Zhukavets, N. On finite degree partial representations of groups. J. Algebra 274 (2004), no. 1, 309--334. (Reviewer: Robert S. Doran) 20C15 (16S10 20C05)

 

MR2029741 (2004k:46083) Trapani, Camillo Erratum/addendum to the paper: "Some seminorms on quasi *-algebras" [Studia Math. 158 (2003), no. 2, 99--115; MR2013734 (2004k:46082)]. Studia Math. 160 (2004), no. 1, 101. (Reviewer: Robert S. Doran) 46K05 (46H05 46L05)

 

MR2045698 (2004m:46120) Moslehian, Mohammad Sal; Niknam, Assadollah Biflatness and biprojectivity of second dual of Banach algebras. Southeast Asian Bull. Math. 27 (2003), no. 1, 129--133. (Reviewer: Robert S. Doran) 46H20 (46H25)

 

MR2013734 (2004k:46082) Trapani, Camillo Some seminorms on quasi *-algebras. Studia Math. 158 (2003), no. 2, 99--115. (Reviewer: Robert S. Doran) 46K05 (46H05 46L05)

 

MR1996874 (2004e:43002) Forrest, B.; Kaniuth, E.; Lau, A. T.; Spronk, N. Ideals with bounded approximate identities in Fourier algebras. J. Funct. Anal. 203 (2003), no. 1, 286--304. (Reviewer: Robert S. Doran) 43A07 (22D15 46J20)

 

MR1978825 (2005a:46017) Wood, Geoffrey V. Maximal algebra norms. Trends in Banach spaces and operator theory (Memphis, TN, 2001), 335--345, Contemp. Math., 321, Amer. Math. Soc., Providence, RI, 2003. (Reviewer: Robert S. Doran) 46B03 (46B04 46L05)

 

MR1965074 (2004b:46086) Polyakov, M. E. An example of a spatially nonflat von Neumann algebra. Functional analysis, 9. J. Math. Sci. (N. Y.) 113 (2003), no. 2, 350--359. (Reviewer: Robert S. Doran) 46L10 (46M20 47L30)

 

MR1963757 (2003k:46067) Desquith, Etienne The Banach algebra induced by a double centralizer. Proc. Amer. Math. Soc. 131 (2003), no. 7, 2109--2119 (electronic). (Reviewer: Robert S. Doran) 46H05 (46H25 46J05 47L05)

 

MR1961188 (2003m:46084) Dales, H. G.; Laustsen, Niels Jakob; Read, Charles J. A properly infinite Banach $*$-algebra with a non-zero, bounded trace. Studia Math. 155 (2003), no. 2, 107--129. (Reviewer: Robert S. Doran) 46K05 (43A20 46H05)

 

MR1960946 (2004i:46088) Read, C. J. $C\sp *$-algebras with dense nilpotent subalgebras. Bull. London Math. Soc. 35 (2003), no. 3, 362--366. (Reviewer: Robert S. Doran) 46L05 (46H40 47L30)

 

MR1943007 (2004g:46080) Takesaki, M. Theory of operator algebras. III. Encyclopaedia of Mathematical Sciences, 127. Operator Algebras and Non-commutative Geometry, 8. Springer-Verlag, Berlin, 2003. xxii+548 pp. ISBN: 3-540-42913-1 (Reviewer: Robert S. Doran) 46L10 (37A55 46L35 46L37 46L55) [book-

Featured Review]

 

MR1943006 (2004g:46079) Takesaki, M. Theory of operator algebras. II. Encyclopaedia of Mathematical Sciences, 125. Operator Algebras and Non-commutative Geometry, 6. Springer-Verlag, Berlin, 2003. xxii+518 pp. ISBN: 3-540-42914-X (Reviewer: Robert S. Doran) 46L10 (47L35 47L55) ) [book-Featured

Review]

 

MR1924068 (2003g:46061) El Kinani, A.; Nejjari, M. A.; Oudadess, M. A version of Vidav Palmer's theorem for $m$-convex algebras. Bull. Greek Math. Soc. 46 (2002), 47--52. (Reviewer: Robert S. Doran) 46K05 (46H05)

 

MR1922704 (2003g:46062) El Kinani, A. On locally pre-$C\sp *$-algebra structures in locally $m$-convex $H\sp *$-algebras. Turkish J. Math. 26 (2002), no. 3, 263--271. (Reviewer: Robert S. Doran) 46K05 (46H05 46L05)

 

5] MR1917188 (2003h:22005) Bakali, A.; Akkouchi, M.; Kabbaj, S. Sur la série discrŹte d'un groupe localement compact. (French) [On the discrete series of a locally compact group]  Math-Rech. Appl.  3  (2001), 79--96. (Reviewer: Robert S. Doran) 22D10 (22D12)

 

MR1902902 (2004b:46069) Spain, P. G. Order and square roots in Hermitian Banach $*$-algebras. Recent advances in operator theory and related topics (Szeged, 1999), 561--584, Oper. Theory Adv. Appl., 127, Birkhäuser, Basel, 2001. (Reviewer: Robert S. Doran) 46K05 (46L05)

 

[27] MR1876952 (2003a:46006) Constantinescu, Corneliu $C\sp *$-algebras. Vol. 5. Selected topics. North-Holland Mathematical Library, 62. North-Holland Publishing Co., Amsterdam, 2001. xxii+600 pp. ISBN: 0-444-50753-1 (Reviewer: Robert S. Doran) 46-01 (46Lxx 47-01) (book)

 

MR1858397 (2003a:46004) Constantinescu, Corneliu $C\sp *$-algebras. Vol. 3. General theory of $C\sp *$-algebras. North-Holland Mathematical Library, 60. North-Holland Publishing Co., Amsterdam, 2001. xxii+417 pp. ISBN: 0-444-50751-5 (Reviewer: Robert S. Doran) 46-01 (46Lxx) (book)

 

MR1858396 (2003a:46005) Constantinescu, Corneliu $C\sp *$-algebras. Vol. 4. Hilbert spaces. North-Holland Mathematical Library, 61. North-Holland Publishing Co., Amsterdam, 2001. xxii+574 pp. ISBN: 0-444-50752-3 (Reviewer: Robert S. Doran) 46-01 (46L08 47-01) (book)

 

MR1850359 (2003a:46003) Constantinescu, Corneliu $C\sp *$-algebras. Vol. 2. Banach algebras and compact operators. North-Holland Mathematical Library, 59. North-Holland Publishing Co., Amsterdam, 2001. xxii+597 pp. ISBN: 0-444-50750-7 (Reviewer: Robert S. Doran) 46-01 (47-01) (book)

 

[MR1850358 (2003a:46002) Constantinescu, Corneliu $C\sp *$-algebras. Vol. 1. Banach spaces. North-Holland Mathematical Library, 58. North-Holland Publishing Co., Amsterdam, 2001. xxii+375 pp. ISBN: 0-444-50749-3 (Reviewer: Robert S. Doran) 46-01 (47-01) (book)

 

MR1919431 (Review) Kadison, Richard V. Which Singer is that? Surveys in differential geometry, 347--373, Surv. Differ. Geom., VII, International Press, Somerville, MA, 2000. (Reviewer: Robert S. Doran) 01A70 (01A60 46-03)

 

MR1917188 (Review) Bakali, A.; Akkouchi, M.; Kabbaj, S. Sur la série discrŹte d'un groupe localement compact. (French) [On the discrete series of a locally compact group] Math-Rech. Appl. 3 (2001), 79--96. (Reviewer: Robert S. Doran) 22D10 (22D12)

 

2003d:46057 Concordido, Cláudia F. R.; Pombo, Dinamérico P., Jr. Polynomials and multilinear mappings in topological modules. Rend. Circ. Mat. Palermo (2) 51 (2002), no. 2, 213--236. (Reviewer: Robert S. Doran) 46H25 (46A32 46G25)

 

2003b:46064 Edwards, D. A. On function lattices and commutative von Neumann algebras. Q. J. Math. 53 (2002), no. 1, 19--29. (Reviewer: Robert S. Doran) 46J10 (46J05 46L10)

 

2003a:46088 Polyakov, M. E. An example of a spatially non-flat von Neumann algebra. Infin. Dimens. Anal. Quantum Probab. Relat. Top. 4 (2001), no. 1, 1--9. (Reviewer: Robert S. Doran) 46L10 (46H25 46M20 47L25)

 

2003a:46077 Bhatt, S. J. Topological  *-algebras with C*-enveloping algebras. II. Proc. Indian Acad. Sci. Math. Sci. 111 (2001), no. 1, 65--94. (Reviewer: Robert S. Doran) 46K05 (46L05)

 

2002k:46114 Feinstein, J.-F.; Somerset, D. W. B. Spectral synthesis for Banach algebras. II. Math. Z. 239 (2002), no. 1, 183--213. (Reviewer: Robert S. Doran) 46H10 (46J20 46K05 46L05)

 

2002e:46002 Palmer, Theodore W. Banach algebras and the general theory of  *-algebras. Vol. 2. *-algebras. Encyclopedia of Mathematics and its Applications, 79. Cambridge University Press, Cambridge, 2001. pp. i--xii and 795--1617. ISBN: 0-521-36638-0 (Reviewer: Robert S. Doran) 46-02 (46-01 46Kxx 46L05) [Book-Featured Review]

 

2002d:46051 Weaver, Nik Hilbert bimodules with involution. Canad. Math. Bull. 44 (2001), no. 3, 355--369. (Reviewer: Robert S. Doran) 46L08 (46L05)

 

2002b:46098 Helemskii, A. Ya. An elementary realization of a nondiscrete factor. Russ. J. Math. Phys. 7 (2000), no. 2, 187--194. (Reviewer: Robert S. Doran) 46L35 (46L10)

 

2002b:46093 Brown, Lawrence G.; Wong, Ngai-Ching On C*-algebras cut down by closed projections: characterizing elements via the extreme boundary. Taiwanese J. Math. 5 (2001), no. 2, 433--441. (Reviewer: Robert S. Doran) 46L05 (46L30)

 

2002b:22009 Shteinberg, B. Ya. Compactification of a locally compact group and the Noethericity of convolution operators with coefficients on quotient groups. Proceedings of the St. Petersburg Mathematical Society, Vol. VI, 209--223, Amer. Math. Soc. Transl. Ser. 2, 199, Amer. Math. Soc., Providence, RI, 2000. (Reviewer: Robert S. Doran) 22D15 (47A53 47B35 47B38)

 

2001m:22005 Anantharaman-Delaroche, C.; Renault, J. Amenable groupoids. With a foreword by Georges Skandalis and Appendix B by E. Germain. Monographies de L'Enseignement Mathématique [Monographs of L'Enseignement Mathématique], 36. L'Enseignement Mathématique, Geneva, 2000. 196 pp. ISBN: 2-940264-01-5 (Reviewer: Robert S. Doran) 22A22 (22D25 43A07 46L05 46L10 46L80) [Book-Featured Review]

 

2001j:46102 Nikshych, Dmitri; Vainerman, Leonid A Galois correspondence for II_1 factors and quantum groupoids.  J. Funct. Anal.  178  (2000),  no. 1, 113--142. (Reviewer: Robert S. Doran) 46L55 (46L37)

 

2001i:46093 Aristov, O. Yu. Homological dimensions of C*-algebras. Topological homology, 39--55, Nova Sci. Publ., Huntington, NY, 2000. (Reviewer: Robert S. Doran) 46L08 (46L05 46M20)

 

2001h:46103 Antonevich, Anatoly; Krupnik, Naum On trivial and non-trivial n-homogeneous C* algebras. Integral Equations Operator Theory 38 (2000), no. 2, 172--189. (Reviewer: Robert S. Doran) 46L05 (46M20)

 

2001e:46090 Aristov, O. Yu. On the definition of a flat operator module. Topological homology, 29--37, Nova Sci. Publ., Huntington, NY, 2000. (Reviewer: Robert S. Doran) 46H25 (46L07 46M05 46M18 47L30)

 

2001d:46085 Brown, Lawrence G.; Wong, Ngai-Ching Left quotients of C*-algebras. II. Atomic parts of left quotients. J. Operator Theory 44 (2000), no. 1, 207--222. (Reviewer: Robert S. Doran) 46L05 (46L30)

 

2001c:46109 Exel, Ruy Partial representations and amenable Fell bundles over free groups. Pacific J. Math. 192 (2000), no. 1, 39--63. (Reviewer: Robert S. Doran) 46L05 (22D25 46M20)

 

2001c:46108 Cavallaro, Stefano Spectral properties of abelian C*-algebras. Algebr. Represent. Theory 3 (2000), no. 2, 175--186. (Reviewer: Robert S. Doran) 46L05 (47A67 47L30)

 

2001b:46107 an Huef, Astrid; Raeburn, Iain; Williams, Dana P. An equivariant Brauer semigroup and the symmetric imprimitivity theorem. Trans. Amer. Math. Soc. 352 (2000), no. 10, 4759--4787. (Reviewer: Robert S. Doran) 46L55 (22D30 46H25 46M20)

 

2000m:46129 Nikshych, Dmitri; Vainerman, Leonid A characterization of depth 2 subfactors of II_1factors. J. Funct. Anal. 171 (2000), no. 2, 278--307. (Reviewer: Robert S. Doran) 46L37 (46L10 46L35)

 

2000m:46109 Galé, José E.; Ransford, Thomas J. On the growth of analytic semigroups along vertical lines. Studia Math. 138 (2000), no. 2, 165--177. (Reviewer: Robert S. Doran) 46J10 (43A20 46H99 47D03)

 

2000k:46080 Frank, Michael; Kirchberg, Eberhard On conditional expectations of finite index. J. Operator Theory 40 (1998), no. 1, 87--111. (Reviewer: Robert S. Doran) 46L05 (46L10)

 

2000j:46115 Struatilu, Serban; Zsidó, László The commutation theorem for tensor products over von Neumann algebras. J. Funct. Anal. 165 (1999), no. 2, 293--346. (Reviewer: Robert S. Doran) 46L10 (46M05)

 

2000j:46103 Deaconu, Valentin Generalized solenoids and C*-algebras. Pacific J. Math. 190 (1999), no. 2, 247--260. (Reviewer: Robert S. Doran) 46L05 (46L35 46L80)

 

2000j:46080 Alaimia, M. R. Automorphisms of some Banach algebras of analytic functions. Linear Algebra Appl. 298 (1999), no. 1-3, 87--97. (Reviewer: Robert S. Doran) 46H05 (46H10 46H20 46H99)

 

2000i:46046 Blecher, David P.; Muhly, Paul S.; Na, Qiyuan Morita equivalence of operator algebras and their C*-envelopes. Bull. London Math. Soc. 31 (1999), no. 5, 581--591. (Reviewer: Robert S. Doran) 46L05 (16D90 46M05 47L30)

 

2000g:46075 Mack, John A bitopological Gelfand theorem for C*-algebras. Proceedings of the 12th Summer Conference on General Topology and its Applications (North Bay, ON, 1997). Topology Proc. 22 (1997), Summer, 285--304. (Reviewer: Robert S. Doran) 46L05 (54C35 54E55)

 

2000f:46071 Exel, Ruy Unconditional integrability for dual actions. Bol. Soc. Brasil. Mat. (N.S.) 30 (1999), no. 1, 99--124. (Reviewer: Robert S. Doran) 46L05 (22D30 22D35 22F05 46M20)

 

2000f:46064 Corach, Gustavo; Galé, José E. On amenability and geometry of spaces of bounded representations. J. London Math. Soc. (2) 59 (1999), no. 1, 311--329. (Reviewer: Robert S. Doran) 46H99 (46L99 46M20 58B25)

 

2000e:46089 Frank, M.; Manuilov, V. M.; Troitsky, E. V. On conditional expectations arising from group actions. Z. Anal. Anwendungen 16 (1997), no. 4, 831--850. (Reviewer: Robert S. Doran) 46L99 (46H25 46L05)

 

2000d:46089 Robbins, D. A. BSE Banach modules and bundles of Banach spaces. Houston J. Math. 24 (1998), no. 3, 489--505. (Reviewer: Robert S. Doran) 46M20 (46H25 46J05)

 

2000c:46108 Raeburn, Iain; Williams, Dana P. Morita equivalence and continuous-trace C*-algebras. Mathematical Surveys and Monographs, 60. American Mathematical Society, Providence, RI, 1998. xiv+327 pp. ISBN: 0-8218-0860-5 (Reviewer: Robert S. Doran) 46L05 (22D99 46L55 46M20) [Book-Featured Review]

 

2000b:46122 Kumjian, Alexander; Muhly, Paul S.; Renault, Jean N.; Williams, Dana P. The Brauer group of a locally compact groupoid. Amer. J. Math. 120 (1998), no. 5, 901--954. (Reviewer: Robert S. Doran) 46L55 (22D25 46M20)

 

2000b:46101 Li, Bingren Classification of real von Neumann algebras. II. Southeast Asian Bull. Math. 21 (1997), no. 4, 421--429. (Reviewer: Robert S. Doran) 46L05 (46L10)

 

2000a:46097 Phillips, N. C.; Weaver, N. Modules with norms which take values in a C*-algebra. Pacific J. Math. 185 (1998), no. 1, 163--181. (Reviewer: Robert S. Doran) 46L05 (46H25 46L87 46M20)

 

2000a:46073 Somerset, D. W. B. Ideal spaces of Banach algebras. Proc. London Math. Soc. (3) 78 (1999), no. 2, 369--400. (Reviewer: Robert S. Doran) 46H10 (46J20 46L05 46M20)

 

2000a:46072 Somerset, D. W. B. Spectral synthesis for Banach algebras. Quart. J. Math. Oxford Ser. (2) 49 (1998), no. 196, 501--521. (Reviewer: Robert S. Doran) 46H10 (46H20 46J20 46L05)

 

99h:43007 Galé, José E.; White, Michael C. An analytic semigroup version of the Beurling-Helson theorem. Math. Z. 225 (1997), no. 1, 151--165. (Reviewer: Robert S. Doran) 43A20 (46H99 46J10 47D03)

 

99d:46069 Zelazko, W. A density theorem for algebra representations on the space (s). Studia Math. 130 (1998), no. 3, 293--296. (Reviewer: Robert S. Doran) 46H15 (46K10 47A67)

 

99d:22025 Kolk, Johan A. C.; Varadarajan, V. S. On the transverse symbol of vectorial distributions and some applications to harmonic analysis. Indag. Math. (N.S.) 7 (1996), no. 1, 67--96. (Reviewer: Robert S. Doran) 22E46 (22E30 46E40 46F10)

 

99c:46064 Helemskii, A. Ya. Projective homological classification of C*-algebras. Comm. Algebra 26 (1998), no. 3, 977--996. (Reviewer: Robert S. Doran) 46L05 (16E30 46H25 46M10 46M15)

 

99c:43007 Walter, Martin E. Semigroups of positive definite functions and related topics. Harmonic analysis and hypergroups (Delhi, 1995), 215--226, Trends Math., Birkhäuser Boston, Boston, MA, 1998. (Reviewer: Robert S. Doran) 43A35 (22A20 46L99)

 

99b:46113 Vainerman, Leonid 2-cocycles and twisting of Kac algebras. Comm. Math. Phys. 191 (1998), no. 3, 697--721. (Reviewer: Robert S. Doran) 46L89 (22D25 22D35 46L05)

 

99b:46083 Fujimoto, Ichiro A Gelfand-Naimark theorem for C*-algebras. Pacific J. Math. 184 (1998), no. 1, 95--119. (Reviewer: Robert S. Doran) 46L05

 

99a:46131 Exel, Ruy Amenability for Fell bundles. J. Reine Angew. Math. 492 (1997), 41--73. (Reviewer: Robert S. Doran) 46M20 (46L55)

 

98m:43009 Datry, C.; Muraz, G. Analyse harmonique dans les modules de Banach. II. Presque-périodicité et ergodicité. (French) [Harmonic analysis in Banach modules. II. Almost periodicity and ergodicity] Bull. Sci. Math. 120 (1996), no. 6, 493--536. (Reviewer: Robert S. Doran) 43A45 (46H25 46M20)

 

98k:46094 Zhang, Lunchuan The generalization of a classical theorem in C*-algebras and others. Nanjing Daxue Xuebao Shuxue Bannian Kan 14 (1997), no. 1, 70--73. (Reviewer: Robert S. Doran) 46L05

 

98k:46087 Haagerup, Uffe Orthogonal maximal abelian *-subalgebras of the n x n matrices and cyclic n-roots. Operator algebras and quantum field theory (Rome, 1996), 296--322, Internat. Press, Cambridge, MA, 1997. (Reviewer: Robert S. Doran) 46L05

 

98j:46052 Gaur, A. K. *-representations on Banach *-algebras. Proc. Amer. Math. Soc. 126 (1998), no. 5, 1461--1466. (Reviewer: Robert S. Doran) 46K10 (46L05)

 

98j:43002 Argün, Z.; Tonyal\i, C. Weak *-invariantly complemented subspaces of L_infty(1_omega) and ideals of L_1(omega) with a bounded approximate identity. Turkish J. Math. 20 (1996), no. 3, 413--423. (Reviewer: Robert S. Doran) 43A20 (43A05 43A10 43A15)

 

98i:46055 Kumjian, Alex   Fell bundles over groupoids. Proc. Amer. Math. Soc. 126 (1998), no. 4, 1115--1125. (Reviewer: Robert S. Doran) 46L05 (22A22 22D25 46M20)

 

98d:46072 Blanchard, Etienne Subtriviality of continuous fields of nuclear C*-algebras.  J. Reine Angew. Math.  489  (1997), 133--149. (Reviewer: Robert S. Doran) 46L45 (46L05 46L80 46M20)

 

98d:46058 Mohammad, Noor; Somasundaram, S. Characterizations of locally C *-algebras. Acta Cienc. Indica Math. 21 (1995), no. 2, 163--170. (Reviewer: Robert S. Doran) 46K05 (46L05)

 

98d:46057 Mohamad, Noor; Thaheem, A. B. A  Hilbert space structure on Banach algebras. Acta Cienc. Indica Math. 21 (1995), no. 2, 197--200. (Reviewer: Robert S. Doran) 46K05 (46H05)

 

98c:47054 Berntzen, R.; So\l tysiak, A. On strong generation of B(H) by two commutative C*-algebras. Studia Math. 125 (1997), no. 2, 175--178. (Reviewer: Robert S. Doran) 47D25 (46L05 47C15)

 

98c:43001 Folland, Gerald B. A course in abstract harmonic analysis. Studies in Advanced Mathematics. CRC Press, Boca Raton, FL, 1995. x+276 pp. ISBN: 0-8493-8490-7 (Reviewer: Robert S. Doran) 43-01 (22-01 46-01) (book)

 

97m:46095 Li, Bingren Irreducible *-representations of real C*-algebras. A Chinese summary appears in Acta Math. Sinica 39 (1996), no. 5, 719. Acta Math. Sinica (N.S.) 11 (1995), no. 4, 381--388. (Reviewer: Robert S. Doran) 46L05 (46L30)

 

97k:46081 Matsumoto, Kengo Distributions on C*-algebras associated with Rn-actions. Proc. London Math. Soc. (3) 74 (1997), no. 2, 444--480. (Reviewer: Robert S. Doran) 46L89 (46Fxx 46L05 46L55)

 

97i:46095 Davidson, Kenneth R. C*-algebras by example. Fields Institute Monographs, 6. American Mathematical Society, Providence, RI, 1996. xiv+309 pp. ISBN: 0-8218-0599-1 (Reviewer: Robert S. Doran) 46Lxx (46-01) (book)

 

97i:46094 Fillmore, Peter A. A user's guide to operator algebras. Canadian Mathematical Society Series of Monographs and Advanced Texts. A Wiley-Interscience Publication. John Wiley & Sons, Inc., New York, 1996. xiv+223 pp. ISBN: 0-471-31135-9 (Reviewer: Robert S. Doran) 46Lxx (46-01) (book)

 

97g:46074 Kirchberg, Eberhard Exact rm-C*-algebras, tensor products, and the classification of purely infinite algebras. Proceedings of the International Congress of Mathematicians, Vol. 1, 2 (Zürich, 1994), 943--954, Birkhäuser, Basel, 1995. (Reviewer: Robert S. Doran) 46L05 (46L35 46M05 46M15)

 

97g:46072 Elliott, George A. The classification problem for amenable C*-algebras. Proceedings of the International Congress of Mathematicians, Vol. 1, 2 (Zürich, 1994), 922--932, Birkhäuser, Basel, 1995. (Reviewer: Robert S. Doran) 46L05 (46L35 46L80 46M15)

 

97f:46116 Matsumoto, Kengo Periodic distributions on C*-algebras. J. Math. Soc. Japan 47 (1995), no. 4, 687--718. (Reviewer: Robert S. Doran) 46L89 (46F05 46F25 46L05 46L55)

 

97f:46115 Enock, Michel; Vauinerman, Leonid Deformation of a Kac algebra by an abelian subgroup. Comm. Math. Phys. 178 (1996), no. 3, 571--596. (Reviewer: Robert S. Doran) 46L89 (16W30 22D35 81R50)

 

97e:46073 Exel, Ruy; Laca, Marcelo Continuous Fell bundles associated to measurable twisted actions. Proc. Amer. Math. Soc. 125 (1997), no. 3, 795--799. (Reviewer: Robert S. Doran) 46L05 (22D25 46M20)

 

97c:47042 Molnár, Lajos Two characterisations of additive *-automorphisms of B(H). Bull. Austral. Math. Soc. 53 (1996), no. 3, 391--400. (Reviewer: Robert S. Doran) 47B49 (46L05 47D25)

 

97c:46067 Daughtry, John; Lambert, Alan; Weinstock, Barnet Invariance of spectrum for representations of C*-algebras on Banach spaces. Proc. Amer. Math. Soc. 125 (1997), no. 1, 189--198. (Reviewer: Robert S. Doran) 46L05 (47A13 47D30)

 

97c:46057 Sonis, M. Localization of left and right spectra in Banach algebras. Funct. Differential Equations Israel Sem. 2 (1994), 195--211 (1995). (Reviewer: Robert S. Doran) 46H05 (46K05)

 

96k:46107 Li, Bingren Classification of real von Neumann algebras. I. Functional analysis in China, 322--332, Math. Appl., 356, Kluwer Acad. Publ., Dordrecht, 1996. (Reviewer: Robert S. Doran) 46L10

 

96k:46102 Nilsen, May The Stone-Cech compactification of Prim(A). Bull. Austral. Math. Soc. 52 (1995), no. 3, 377--383. (Reviewer: Robert S. Doran) 46L05

 

96k:46100 Lance, E. C. Hilbert C*-modules. A toolkit for operator algebraists. London Mathematical Society Lecture Note Series, 210. Cambridge University Press, Cambridge, 1995. x+130 pp. ISBN: 0-521-47910-X (Reviewer: Robert S. Doran) 46L05 (46H25 46K05 46L80 46M05 47D25) (book)

 

96k:46080 Desquith, Etienne Embedding of a Banach algebra A into L(A').  Proc. Amer. Math. Soc.  124  (1996),  no. 9, 2773--2778. (Reviewer: Robert S. Doran) 46H05 (46B99 46K05 46L05)

 

96j:46059 Wong, Ngai Ching Left quotients of a C*-algebra. I. Representation via vector sections. J. Operator Theory 32 (1994), no. 1, 185--201. (Reviewer: Robert S. Doran) 46L05 (46L35)

 

96i:43003 Datry, Christian; Muraz, Gilbert Analyse harmonique dans les modules de Banach. I. Propriétés générales. (French) [Harmonic analysis in Banach modules. I. General properties] Bull. Sci. Math. 119 (1995), no. 4, 299--337. (Reviewer: Robert S. Doran) 43A45 (46H25 46M20)

 

96g:47045 Zelazko, W. Open problems and some results on strongly closed subalgebras of B(X). Tartu Ül. Toimetised No. 970 (1994), 125--130. (Reviewer: Robert S. Doran) 47D30 (46L99)

 

96g:46045 Kaniuth, Eberhard; Schlichting, Günter; Taylor, Keith F. Minimal primal and Glimm ideal spaces of group C*-algebras. J. Funct. Anal. 130 (1995), no. 1, 43--76. (Reviewer: Robert S. Doran) 46L05 (22D25)

 

96f:46109 Takahasi, Sin-ei BSE Banach modules and multipliers. J. Funct. Anal. 125 (1994), no. 1, 67--89. (Reviewer: Robert S. Doran) 46L05 (46H25 46J05 46M20)

 

96e:46084 Baumgärtel, H. Fourier transformation of Hilbert C*-systems, with compact groups, by their regular representation. Math. Nachr. 172 (1995), 15--24. (Reviewer: Robert S. Doran) 46L40 (46L05 47D45 81R05)

 

96e:46067 Tsertos, Yannis Representations and extensions of positive functionals on *-algebras. Boll. Un. Mat. Ital. B (7) 8 (1994), no. 3, 541--555. (Reviewer: Robert S. Doran) 46K05 (46K10 46L05)

 

96a:46131 Kitchen, J. W.; Robbins, D. A. Bundles of Banach algebras. II. Houston J. Math. 20 (1994), no. 3, 435--451. (Reviewer: Robert S. Doran) 46M20 (46H15 46H25 46K10)

 

96a:46130 Kitchen, J. W.; Robbins, D. A. Bundles of Banach algebras. Internat. J. Math. Math. Sci. 17 (1994), no. 4, 671--680. (Reviewer: Robert S. Doran) 46M20 (46H15 46H25 46J25)

 

96a:46111 Frank, M.; Manuui lov, V. M. Diagonalizing "compact" operators on Hilbert W*-modules. Z. Anal. Anwendungen 14 (1995), no. 1, 33--41. (Reviewer: Robert S. Doran) 46L10 (46H25 46M99 47B07 47D25)

 

96a:46107 Hauser, Raphael A.; Matzinger, Heinrich, III Compact elements and smallest faithful representation of C*-algebras. Proc. Amer. Math. Soc. 123 (1995), no. 11, 3379--3384. (Reviewer: Robert S. Doran) 46L05 (47B10)

 

96a:22006 Kaniuth, Eberhard Measures on locally compact groups whose Fourier-Stieltjes transforms vanish at infinity and group C*-algebras. Math. Scand. 75 (1994), no. 1, 115--132. (Reviewer: Robert S. Doran) 22D15 (22D25 43A30 46L05)

 

95i:46089 Porta, Horacio; Recht, Lázaro Conditional expectations and operator decompositions. Ann. Global Anal. Geom. 12 (1994), no. 4, 335--339. (Reviewer: Robert S. Doran) 46L05 (58B20)

 

95i:46086 Haagerup, Uffe; RŅrdam, Mikael C*-algebras of unitary rank two. J. Operator Theory 30 (1993), no. 1, 161--171. (Reviewer: Robert S. Doran) 46L05

 

95h:47066 \.Zelazko, W. On strongly closed subalgebras of B(X). Colloq. Math. 67 (1994), no. 2, 289--295. (Reviewer: Robert S. Doran) 47D30 (46H10)

 

95h:47052 Batty, C. J. K.; Greenfield, D. A. On the invertibility of isometric semigroup representations. Studia Math. 110 (1994), no. 3, 235--250. (Reviewer: Robert S. Doran) 47D03 (32E20 47A67 47D30)

 

95h:46082 Fujimoto, Ichiro A Gel’fand-Naimark theorem for C*-algebras. Algebraic methods in operator theory, 124--133, Birkhäuser Boston, Boston, MA, 1994. (Reviewer: Robert S. Doran) 46L05

 

95g:46107 Pestov, Vladimir G. Operator spaces and residually finite-dimensional C*-algebras. J. Funct. Anal. 123 (1994), no. 2, 308--317. (Reviewer: Robert S. Doran) 46L05 (46M15 47D15)

 

95g:46106 Maestripieri, A. On the geometry of the set of square roots of elements in C*-algebras. Integral Equations Operator Theory 19 (1994), no. 3, 290--313. (Reviewer: Robert S. Doran) 46L05 (58B20)

 

95g:46085 Arazy, Jonathan Isometries of Banach algebras satisfying the von Neumann inequality.  Math. Scand.  74  (1994),  no. 1, 137--151. (Reviewer: Robert S. Doran) 46H05 (46H70 46K05 46L05)

 

95c:22010 Yamanouchi, Takehiko Duality for generalized Kac algebras and a characterization of finite groupoid algebras. J. Algebra 163 (1994), no. 1, 9--50. (Reviewer: Robert S. Doran) 22D35 (20N02 22D25 46L10)

 

94m:46088 Saworotnow, P. P. Diagonalization of unbounded selfadjoint operators acting on a Hilbert module. Glas. Mat. Ser. III 26(46) (1991), no. 1-2, 89--95. (Reviewer: Robert S. Doran) 46K15 (47A05 47B25)

 

94k:46124 Zhu, Ke He An introduction to operator algebras. Studies in Advanced Mathematics. CRC Press, Boca Raton, FL, 1993. x+157 pp. ISBN: 0-8493-7875-3 (Reviewer: Robert S. Doran) 46L05 (46-01 46L10) (book)

 

94j:46053 Yood, Bertram On Banach algebras with a Jordan involution. Dedicated to the memory of Professor Gottfried Köthe. Note Mat. 11 (1991), 331--333. (Reviewer: Robert S. Doran) 46K05 (46L05)

 

94i:46070 Patterson, Paul L. Involutions on algebras arising from locally compact groups. Proc. Amer. Math. Soc. 121 (1994), no. 3, 739--745. (Reviewer: Robert S. Doran) 46K05 (43A10 43A20 46K10)

 

94e:46101 Enock, Michel; Vallin, Jean-Michel C*-algŹbres de Kac et algŹbres de Kac. (French) [Kac C*-algebras and Kac algebras] Proc. London Math. Soc. (3) 66 (1993), no. 3, 619--650. (Reviewer: Robert S. Doran) 46L05 (22D25 22D35 46L10)

 

94c:46113 Bhatt, Subhash J.; Karia, Dinesh J. An intrinsic characterization of Pro-C*-algebras and its applications. J. Math. Anal. Appl. 175 (1993), no. 1, 68--80. (Reviewer: Robert S. Doran) 46L05 (46K05)

 

94c:46112 Bhatt, Subhash J.; Karia, Dinesh J. Topological algebras with C*-enveloping algebras. Proc. Indian Acad. Sci. Math. Sci. 102 (1992), no. 3, 201--215. (Reviewer: Robert S. Doran) 46L05 (46K05)

 

94b:46083 Li, Bing Ren Introduction to operator algebras. World Scientific Publishing Co., Inc., River Edge, NJ, 1992. xvi+738 pp. ISBN: 981-02-0941-X (Reviewer: Robert S. Doran) 46Lxx (46-01) (book)

 

93j:46059 Corach, Gustavo; Porta, Horacio; Recht, Lázaro Splitting of the positive set of a C*-algebra. Indag. Math. (N.S.) 2 (1991), no. 4, 461--468. (Reviewer: Robert S. Doran) 46L05 (46L99)

 

93j:46052 Mata-Lorenzo, Luis E.; Recht, Lázaro Infinite-dimensional homogeneous reductive spaces. Acta Cient. Venezolana 43 (1992), no. 2, 76--90. (Reviewer: Robert S. Doran) 46H99 (46L99 46M20 58B20)

 

93h:46059 Fragoulopoulou, Maria A characterization of maximal regular ideals in lmc algebras. Studia Math. 103 (1992), no. 1, 41--49. (Reviewer: Robert S. Doran) 46H10 (46J20 46K05)

 

93g:46058 Singh, Ajit Iqbal; Mittal, Neelam Complete finite representability in C*-algebras. Yokohama Math. J. 38 (1991), no. 2, 83--94. (Reviewer: Robert S. Doran) 46L05 (46B08 46M07)

 

93g:46054 Fragoulopoulou, Maria Tensor products of locally C*-algebras and applications. Math. Nachr. 153 (1991), 321--331. (Reviewer: Robert S. Doran) 46L05 (46K05 46M05 47D40)

 

93g:46052 Kadison, Richard V.; Ringrose, John R. Fundamentals of the theory of operator algebras. Vol. IV. Special topics. Advanced theory---an exercise approach. Birkhäuser Boston, Inc., Boston, MA, 1992. pp. i--xv and 274--859. ISBN: 0-8176-3498-3 (Reviewer: Robert S. Doran) 46Lxx (46-01 47-01 47Dxx) (book)

 

93g:46050 Fragoulopoulou, Maria Symmetric topological *-algebras. II. Atti Sem. Mat. Fis. Univ. Modena 40 (1992), no. 1, 149--157. (Reviewer: Robert S. Doran) 46K05 (46K10)

 

93f:46091 Exel, Ruy; Loring, Terry A. Finite-dimensional representations of free product C*-algebras. Internat. J. Math. 3 (1992), no. 4, 469--476. (Reviewer: Robert S. Doran) 46L05

 

93f:46087 Blanchard, Étienne Représentations de champs de C*-algŹbres. (French) [Representations of fields of C*-algebras] C. R. Acad. Sci. Paris Sér. I Math. 314 (1992), no. 12, 911--914. (Reviewer: Robert S. Doran) 46L05 (46M20)

 

93d:46102 Paterson, Alan L. T. Invariant mean characterizations of von Neumann algebras. Indiana Univ. Math. J. 41 (1992), no. 1, 233--252. (Reviewer: Robert S. Doran)

 

93c:43003 Gröchenig, Karlheinz; Kaniuth, Eberhard; Taylor, Keith F. Compact open sets in duals and projections in L_1-algebras of certain semi-direct product groups.  Math. Proc. Cambridge Philos. Soc.  111  (1992),  no. 3, 545--556. (Reviewer: Robert S. Doran) 43A20 (22D30 43A65)

 

93c:43001 Forrest, Brian Arens regularity and discrete groups. Pacific J. Math. 151 (1991), no. 2, 217--227. (Reviewer: Robert S. Doran) 43A15 (43A30 46H05)

 

93b:46110 Dutta, Tarini Kumar Hermitian operators on C*-algebras. Nat. Acad. Sci. Lett. 14 (1991), no. 8, 347--350. (Reviewer: Robert S. Doran) 46L05 (47B15)

 

92m:46084 Kadison, Richard V.; Ringrose, John R. Fundamentals of the theory of operator algebras. Vol. III. Special topics. Elementary theory---an exercise approach. Birkhäuser Boston, Inc., Boston, MA, 1991. xiv+273 pp. ISBN: 0-8176-3497-5 (Reviewer: Robert S. Doran) 46Lxx (46-01 47-01 47Dxx) (book)

 

92m:46082 Stochel, J.; Todorov, T. S. On the characterization of cyclic *-representations with equal weak and strong commutants: on GNS representations induced by normal functionals (commutative case). C. R. Acad. Bulgare Sci. 44 (1991), no. 4, 9--11. (Reviewer: Robert S. Doran) 46K10 (46L05 47D40)

 

92k:46093 \Zelazko, Wies\l aw On a problem of Fell and Doran. Colloq. Math. 62 (1991), no. 1, 31--37. (Reviewer: Robert S. Doran) 46K10 (46A03 47D30)

 

92k:46091 Mohammad, Noor; Verjovsky, Alberto An inner product for a Banach *-algebra. Bol. Soc. Mat. Mexicana (2) 34 (1989), no. 1-2, 23--29. (Reviewer: Robert S. Doran) 46K05 (46K15)

 

92k:46089 Kulkarni, S. H. Representations of a class of real B*-algebras as algebras of quaternion-valued functions. Proc. Amer. Math. Soc. 116 (1992), no. 1, 61--66. (Reviewer: Robert S. Doran) 46K05 (46L05)

 

92j:46103 Bhatt, Subhash J.; Karia, Dinesh J. Complete positivity, tensor products and C*-nuclearity for inverse limits of C*-algebras. Proc. Indian Acad. Sci. Math. Sci. 101 (1991), no. 3, 149--167. (Reviewer: Robert S. Doran) 46L05 (46K05 46M05)

 

92j:46101 Alberti, Peter M. On the geometry of pairs of positive linear forms. I. Wiss. Z. Karl-Marx-Univ. Leipzig Math.-Natur. Reihe 39 (1990), no. 6, 579--597. (Reviewer: Robert S. Doran) 46L05

 

92i:46066 Pavone, Marco On norm-closed ideals in von Neumann algebras. Boll. Un. Mat. Ital. A (7) 5 (1991), no. 2, 233--236. (Reviewer: Robert S. Doran) 46L10 (46L05)

 

92h:46084 Arzumanian, V.; Grigorian, S. Invariant algebras of operator fields on compact abelian groups. Izv. Akad. Nauk Armyan. SSR Ser. Mat. 25 (1990), no. 4, 333--343, 413; translation in Soviet J. Contemporary Math. Anal. 25 (1990), no. 4, 20--31 (1991) (Reviewer: Robert S. Doran) 46L05 (22D25 46J05)

 

92h:46082 Fragoulopoulou, Maria An introduction to the representation theory of topological *-algebras. Schriftenreihe des Mathematischen Instituts der Universität Münster, 2. Serie [Series of the Mathematical Institute of the University of Münster, Series 2], 48. Universität Münster, Mathematisches Institut, Münster, 1988. iv+81 pp. (Reviewer: Robert S. Doran) 46K10 (book)

 

92f:46064 Boca, Florin Free products of completely positive maps and spectral sets. J. Funct. Anal. 97 (1991), no. 2, 251--263. (Reviewer: Robert S. Doran) 46L05 (47A20)

 

92d:46144 Beggs, Edwin J.; Evans, David E. Real rank zero families of C*-algebras. C. R. Math. Rep. Acad. Sci. Canada 12 (1990), no. 5, 179--182. (Reviewer: Robert S. Doran) 46L05 (46L45)

 

92d:46143 Arzumanian, Victor; Grigorian, Suren  Noncommutative uniform algebras. Linear operators in function spaces (Timi\c soara, 1988), 101--109, Oper. Theory Adv. Appl., 43, Birkhäuser, Basel, 1990. (Reviewer: Robert S. Doran) 46L05 (46J10 46L50 46M20)

 

92d:46141 Kadison, Richard V. Operator algebras---an overview. The legacy of John von Neumann (Hempstead, NY, 1988), 61--89, Proc. Sympos. Pure Math., 50, Amer. Math. Soc., Providence, RI, 1990. (Reviewer: Robert S. Doran) 46Lxx (01A60 46-03)

 

91m:46087 Saito, Kazuyuki Representations of C*-algebras and regular completions. J. London Math. Soc. (2) 40 (1989), no. 2, 291--304. (Reviewer: Robert S. Doran) 46L05

 

91m:46083 Fragoulopoulou, Maria Automatic continuity of  *-morphisms between nonnormed topological *-algebras. Pacific J. Math. 147 (1991), no. 1, 57--70. (Reviewer: Robert S. Doran) 46K05

  

91i:46090 Müller, Thomas C*-semigroup bundles and C*-algebras whose irreducible representations are all finite-dimensional. Dissertationes Math. (Rozprawy Mat.) 290 (1990), 87 pp. (Reviewer: Robert S. Doran) 46M20 (46L05 46L35)

 

91i:46067 Bédos, Erik On actions of amenable groups on II_1-factors.  J. Funct. Anal.  91  (1990),  no. 2, 404--414. (Reviewer: Robert S. Doran) 46L35 (22D25 46L10 46L55)

 

91i:46060 Frank, M. Self-duality and C*-reflexivity of Hilbert C*-moduli. Z. Anal. Anwendungen 9 (1990), no. 2, 165--176. (Reviewer: Robert S. Doran) 46L05 (46M20)

 

91e:46057 Dixon, P. G. Factorization and unbounded approximate identities in Banach algebras. Math. Proc. Cambridge Philos. Soc. 107 (1990), no. 3, 557--571. (Reviewer: Robert S. Doran) 46H05

 

91d:46077 Li, Bing Ren A noncommutative generalization of Gel’ fand-Naimark theorem. Sci. China Ser. A 33 (1990), no. 2, 156--164. (Reviewer: Robert S. Doran) 46L05 (46L45 46M20)

 

91c:46081 So\l tysiak, Andrzej On C*-algebras satisfying spectral maximum principles. Funct. Approx. Comment. Math. 18 (1989), 67--71. (Reviewer: Robert S. Doran) 46L05

 

91c:46080 Exel, Ruy C*-algebras and harmonic analysis. Analyse harmonique: Groupe de Travail sur les Espaces de Banach Invariants par Translation, Exp. No. 1, 7 pp., Publ. Math. Orsay, 89-02, Univ. Paris XI, Orsay, 1989. (Reviewer: Robert S. Doran) 46L05 (46L30)

 

91c:46079 Archbold, R. J.; Somerset, D. W. B. Quasi-standard C*-algebras. Math. Proc. Cambridge Philos. Soc. 107 (1990), no. 2, 349--360. (Reviewer: Robert S. Doran) 46L05

 

91c:46078 Magyar, Zoltán On commutativity and spectral radius property of real generalized *-algebras. Acta Sci. Math. (Szeged) 53 (1989), no. 3-4, 339--343. (Reviewer: Robert S. Doran) 46K05

 

91c:46077 Magyar, Zoltán A characterization of (real or complex) Hermitian algebras and equivalent C*-algebras. Acta Sci. Math. (Szeged) 53 (1989), no. 3-4, 345--353. (Reviewer: Robert S. Doran) 46K05

 

90m:46086 Takahasi, Sin-ei; Hatori, Osamu Commutative Banach algebras which satisfy a Bochner-Schoenberg-Eberlein type-theorem. Proc. Amer. Math. Soc. 110 (1990), no. 1, 149--158. (Reviewer: Robert S. Doran) 46J05 (43A10 46J10)

 

90k:46127 Arzumanian, V.; Grigorian, S. The boundaries of uniform algebras of operator fields. Izv. Akad. Nauk Armyan. SSR Ser. Mat. 23 (1988), no. 5, 422--438, 505; translation in Soviet J. Contemporary Math. Anal. 23 (1988), no. 5, 15--35 (Reviewer: Robert S. Doran) 46L05 (46J10 46L30 46L99)

 

90f:46090 Hadwin, Don A Bishop-Stone-Weierstrass theorem for C*-algebras. Indiana Univ. Math. J. 38 (1989), no. 1, 115--136. (Reviewer: Robert S. Doran) 46L05 (46L10)

 

90b:46133 Nassopoulos, George F. Duality and functional representations of certain complete algebras. Prakt. Akad. Athenon 56 (1981), 327--338 (1982). (Reviewer: Robert S. Doran) 46M15 (18B99 46H15 46J25 46K10)

 

90a:46151 Kato, Yoshinobu Pták type theorem for C*-algebras. Arch. Math. (Basel) 50 (1988), no. 6, 550--552. (Reviewer: Robert S. Doran) 46L05

 

90a:46145 Fragoulopoulou, M. Symmetric topological *-algebras. Period. Math. Hungar. 19 (1988), no. 3, 181--208. (Reviewer: Robert S. Doran) 46K05

 

89m:46095 Thomas, E. Positive forms on nuclear *-algebras and their integral representations. Mark Kac Seminar on Probability and Physics. Syllabus 1985--1987 (Amsterdam, 1985--1987), 6--12, CWI Syllabi, 17, Math. Centrum, Centrum Wisk. Inform. Amsterdam, 1988. (Reviewer: Robert S. Doran) 46K05 (46A55)

 

89f:46109 Khan, Liaqat Ali Mackey space problem for double centralizer algebras. Punjab Univ. J. Math. (Lahore) 20 (1987), 7--12. (Reviewer: Robert S. Doran) 46K05 (46A05 46L05)

 

89e:46065 Ghahramani, F. Compact homomorphisms of C*-algebras. Proc. Amer. Math. Soc. 103 (1988), no. 2, 458--462. (Reviewer: Robert S. Doran) 46L05 (46J05)

 

89c:46066 Papatriantafillou, Maria H. Methods of differentiation in topological  A-modules. Bull. Soc. Math. GrŹce (N.S.) 27 (1986), 95--110. (Reviewer: Robert S. Doran) 46J05 (46H25)

 

89c:46062 Chryssakis, Thanassis Numerical range and Gateaux differential in topological algebras. Bull. Soc. Math. GrŹce (N.S.) 28 (1987), , part A, 7--14. (Reviewer: Robert S. Doran) 46H05 (46K05)

 

89b:47062 Behncke, H. On the Calkin representations of B(H).  Proc. Amer. Math. Soc.  101  (1987),  no. 1, 101--107. (Reviewer: Robert S. Doran) 47D25 (46L05)

 

89b:46070 Pincket, J. A Hahn-Banach type theorem for Riesz modules over a commutative AW*-algebra. Simon Stevin 61 (1987), no. 2, 109--117. (Reviewer: Robert S. Doran) 46L10 (46A40 46K05 47B55)

 

89b:46067 Beckhoff, Ferdinand Korovkin-Theorie in Algebren. (German) [Korovkin theory in algebras] Schriftenreihe des Mathematischen Instituts der Universität Münster, 2. Serie [Series of the Mathematical Institute of the University of Münster, Series 2], 45. Universität Münster, Mathematisches Institut, Münster, 1987. viii+145 pp. (Reviewer: Robert S. Doran) 46L05 (41A65 46J05 46K05 47D99) (book)

 

89a:46122 Danev s, Josef The Hilbert projective metric and an equation in a C*-algebra. Czechoslovak Math. J. 37(112) (1987), no. 4, 522--532. (Reviewer: Robert S. Doran) 46L05 (47A05 47A62)

 

89a:46119 Hennings, M. A. A characterisation of C*-algebras. Proc. Edinburgh Math. Soc. (2) 30 (1987), no. 3, 445--453. (Reviewer: Robert S. Doran) 46K05 (46L05)

 

89a:46118 Alda, Václav; Vrbová, Pavla A remark on C*-algebras. Czechoslovak Math. J. 37(112) (1987), no. 4, 509--511. (Reviewer: Robert S. Doran) 46K05 (46L05)

 

88k:46054 Vasudevan, R.; Goel, Satya Quasimultipliers and normed full direct-sum of Banach algebras. Ann. Soc. Sci. Bruxelles Sér. I 99 (1985), no. 2-3, 85--95 (1987). (Reviewer: Robert S. Doran) 46H05 (46J20)

 

88h:46108 Laursen, K. B. Continuity of homomorphisms from C*-algebras into commutative Banach algebras. J. London Math. Soc. (2) 36 (1987), no. 1, 165--175. (Reviewer: Robert S. Doran) 46L05 (46J05)

 

88d:46106 Kadison, Richard V.; Ringrose, John R. Fundamentals of the theory of operator algebras. Vol. II. Advanced theory. Pure and Applied Mathematics, 100. Academic Press, Inc., Orlando, FL, 1986. pp. i--xiv and 399--1074. ISBN: 0-12-393302-1 (Reviewer: Robert S. Doran) 46Lxx (46-01 46-02 47-01) (book)

 

[170] 88a:47044 Dixon, P. G. Left approximate identities in algebras of compact operators on Banach spaces. Proc. Roy. Soc. Edinburgh Sect. A 104 (1986), no. 1-2, 169--175. (Reviewer: Robert S. Doran) 47D30 (46H05 46H25 47B05)

 

88a:22027 Handelman, D. Xerox product type actions of compact Lie groups, traces and positive polynomials. Geometric methods in operator algebras (Kyoto, 1983), 220--236, Pitman Res. Notes Math. Ser., 123, Longman Sci. Tech., Harlow, 1986. (Reviewer: Robert S. Doran) 22E45 (22D25 46L80)

 

88a:22015 Hauenschild, Wilfried Zwei Dualräume der unendlichen, symmetrischen Gruppe. (German) [Two dual spaces of the infinite, symmetric group] Arch. Math. (Basel) 46 (1986), no. 3, 211--215. (Reviewer: Robert S. Doran) 22D25 (20B07 46L05)

 

88a:22014 Hauenschild, Wilfried; Kirchhoff, Holger Der Raum Prim(C*(G)) für eine abzählbare, lokal-endliche Gruppe G. (German) [The space Prim(C*(G)) for an enumerable, locally finite group G] Arch. Math. (Basel) 46 (1986), no. 2, 114--117. (Reviewer: Robert S. Doran) 22D25 (46L05)

 

87i:46124 Chien, Mao Ting Homogeneous C*-algebras. Soochow J. Math. 11 (1985), 55--67. (Reviewer: Robert S. Doran) 46L05 (46J20)

 

87i:46107 Takahasi, Sin-ei Remarks on Tauberian theorem for quasicentral Banach algebras. Bull. Fac. Sci. Ibaraki Univ. Ser. A No. 18 (1986), 55--56. (Reviewer: Robert S. Doran) 46H05 (46H20)

 

87f:46084 Saworotnow, Parfeny P. Diagonalization of a selfadjoint operator acting on a Hilbert module. Internat. J. Math. Math. Sci. 8 (1985), no. 4, 669--675. (Reviewer: Robert S. Doran) 46H25 (46K15)

 

87b:46061 Magyar, Zoltán; Sebestyén, Zoltán On the definition of $C*-algebras. II. Canad. J. Math. 37 (1985), no. 4, 664--681. (Reviewer: Robert S. Doran) 46K05

 

86m:43004 Arendt, Wolfgang An order theoretical characterization of the Fourier transform. Math. Ann. 272 (1985), no. 3, 331--347. (Reviewer: Robert S. Doran) 43A25 (43A30 46N05)

 

86j:47025 Stochel, J.; Szafraniec, F. H. Boundedness of linear and related nonlinear maps. II. Exposition. Math. 2 (1984), no. 3, 283--287. (Reviewer: Robert S. Doran) 47A99 (47H99)

 

86j:46050 Bachar, John M., Jr. Some results on range transformations between function spaces. Proceedings of the conference on Banach algebras and several complex variables (New Haven, Conn., 1983), 35--62, Contemp. Math., 32, Amer. Math. Soc., Providence, RI, 1984. (Reviewer: Robert S. Doran) 46J05 (46E99 46J10)

 

86c:43005 Auslander, Louis A factorization theorem for the Fourier transform of a separable locally compact abelian group.  Special functions: group theoretical aspects and applications,  261--269, Math. Appl., Reidel, Dordrecht, 1984. (Reviewer: Robert S. Doran) 43A25

 

86a:46051 Takahasi, Sin-ei Remarks on quasicentral approximate identities. Manuscripta Math. 47 (1984), no. 1-3, 229--232. (Reviewer: Robert S. Doran) 46H05

 

85m:46054 Cohen, Joel M. C*-algebras of abelian groups. J. Pure Appl. Algebra 33 (1984), no. 1, 7--10. (Reviewer: Robert S. Doran) 46L05 (22D25 46L80)

 

85m:46044 Yood, Bertram Structure spaces of rings and Banach algebras. Michigan Math. J. 31 (1984), no. 2, 181--189. (Reviewer: Robert S. Doran) 46H05 (16A80 46K05)

 

85k:43007 Lau, Anthony To Ming Analysis on a class of Banach algebras with applications to harmonic analysis on locally compact groups and semigroups. Fund. Math. 118 (1983), no. 3, 161--175. (Reviewer: Robert S. Doran) 43A20 (46H05 46K99)

 

85j:46099 Kadison, Richard V.; Ringrose, John R. Fundamentals of the theory of operator algebras. Vol. I. Elementary theory. Pure and Applied Mathematics, 100. Academic Press, Inc. [Harcourt Brace Jovanovich, Publishers], New York, 1983. xv+398 pp. ISBN: 0-12-393301-3 (Reviewer: Robert S. Doran) 46Lxx (46-01 46-02 47-01) (book)

 

83m:46084 Niestegge, Gerd Sätze vom Radon-Nikodym-Typ für Funktionale auf B*-Algebren. (German) [Theorems of Radon-Nikodym type for functionals on B*-algebras] Schriftenreihe des Mathematischen Instituts der Universität Münster, Ser. 2 [Series of the Mathematical Institute of the University of Münster, Ser. 2], 22. Universität Münster, Mathematisches Institut, Münster, 1981. i+80 pp. (Reviewer: Robert S. Doran) 46L05 (book)

 

83m:46082 HŅegh-Krohn, Raphael; Skjelbred, Tor Classification of C*-algebras admitting ergodic actions of the two-dimensional torus. J. Reine Angew. Math. 328 (1981), 1--8. (Reviewer: Robert S. Doran) 46L05 (22D40 46L55)

 

83m:43002 Ghahramani, F. Isometric representation of M(G) on B(H). Glasgow Math. J. 23 (1982), no. 2, 119--122. (Reviewer: Robert S. Doran) 43A10

 

83k:22016 Chou, Ching Topological invariant means on the von Neumann algebra VN(G). Trans. Amer. Math. Soc. 273 (1982), no. 1, 207--229. (Reviewer: Robert S. Doran) 22D25 (43A07 46L10)

 

83i:46067 Muratov, M. A. Convergence almost everywhere and in measure in a ring of measurable operators. (Russian) Sěgakushi Kenkyě No. 86 (1980), 47--52, 93--94. (Reviewer: Robert S. Doran) 46L10 (46L50 47C15)

 

83f:46055 Ch'üan, Jźn Chung; Lee, Wen Shyong On the Gel’fand-Mazur theorem. Res. Rep. Nat. Sci. Council Math. Res. Center 9 (1980/81), 107--111. (Reviewer: Robert S. Doran) 46H05

 

83a:46068 Szafraniec, F. H. Subnormals in C*-algebras. Proc. Amer. Math. Soc. 84 (1982), no. 4, 533--534. (Reviewer: Robert S. Doran) 46L05 (47B20)

 

83a:46053 Takahasi, Sin-ei On the center of quasicentral Banach algebras with bounded approximate identity. Canad. J. Math. 33 (1981), no. 1, 68--90. (Reviewer: Robert S. Doran) 46H05 (46L05)

 

83a:22009 Mayer-Lindenberg, Fritz Zur Dualitätstheorie symmetrischer Paare. (German) [On the duality theory of symmetric pairs] J. Reine Angew. Math. 321 (1981), 36--52. (Reviewer: Robert S. Doran) 22D45 (22D25 43A85)

 

82b:46065 Karahanjan, M. I. Some algebraic characterizations of the algebra of all continuous functions on a locally connected compactum. (Russian) Mat. Sb. (N.S.) 107(149) (1978), no. 3, 416--434, 463. (Reviewer: Robert S. Doran) 46J10

 

81k:46071  Suhov, A. G. Entropy of diagonalizable states of von Neumann algebras. (Russian) Funktsional. Anal. i Prilozhen. 14 (1980), no. 2, 95--96. (Reviewer: Robert S. Doran) 46L50

 

81i:54027 Mauldin, R. Daniel On the Borel subspaces of algebraic structures. Indiana Univ. Math. J. 29 (1980), no. 2, 261--265. (Reviewer: Robert S. Doran) 54H05 (22A99)

 

81i:46077 Pedersen, Gert Kjaergard v Cebyvsev subspaces of C*-algebras. Math. Scand. 45 (1979), no. 1, 147--156. (Reviewer: Robert S. Doran) 46L05

 

81i:46055 Aupetit, Bernard Propriétés spectrales des algŹbres de Banach. (French) [Spectral properties of Banach algebras] Lecture Notes in Mathematics, 735. Springer, Berlin, 1979. xii+192 pp. ISBN: 3-540-09531-4 (Reviewer: Robert S. Doran) 46H05 (46-02) (book)

 

81b:22008 Mayer-Lindenberg, Fritz Invariante Spuren auf Gruppenalgebren. (German)  J. Reine Angew. Math.  310  (1979), 204--213. (Reviewer: Robert S. Doran) 22D25 (43A65 46L05)

 

81b:22003 Milnes, Paul Continuity properties of compact right topological groups. Math. Proc. Cambridge Philos. Soc. 86 (1979), no. 3, 427--435. (Reviewer: Robert S. Doran) 22A10 (54H20)

 

80j:46097 Robertson, A. Guyan; Yost, David Chebyshev subspaces of operator algebras. J. London Math. Soc. (2) 19 (1979), no. 3, 523--531. (Reviewer: Robert S. Doran) 46L05

 

80h:46100 Golodec, V. Ja.; Nessonov, N. I. Invariant states on asymptotically abelian factors of type III. (Russian) Funktsional. Anal. i Prilozhen. 13 (1979), no. 2, 81--82. (Reviewer: Robert S. Doran) 46L10

 

80h:46091 Gootman, Elliot C.; Rosenberg, Jonathan The structure of crossed product C*-algebras: a proof of the generalized Effros-Hahn conjecture. Invent. Math. 52 (1979), no. 3, 283--298. (Reviewer: Robert S. Doran) 46L05 (22D25)

 

80g:46044 Soldatov, A. P. On the Noether theory of operators. (Russian) Dokl. Akad. Nauk SSSR 238 (1978), no. 2, 281--284. (Reviewer: Robert S. Doran) 46H05 (46M99 47A53)

 

80f:22002 Fabec, Raymond C. A theorem on extending representations. Proc. Amer. Math. Soc. 75 (1979), no. 1, 157--162. (Reviewer: Robert S. Doran) 22D10

 

80d:46117 Promislow, David Dimension of null spaces with applications to group rings. Canad. J. Math. 30 (1978), no. 2, 289--300. (Reviewer: Robert S. Doran) 46L10 (22D25)

 

80c:47036 Samarski\u\i, V. G. The construction of an operator ideal by means of Bernstein's s-numbers. (Russian) Vestnik Leningrad. Univ. Mat. Mekh. Astronom. 1978, vyp. 1, 77--80, 156. (Reviewer: Robert S. Doran) 47D30 (46B20)

 

58 #17924 Poro\v skin, A. G. Strong convergence of sequences and of directions of selfadjoint operators. (Russian) Functional analysis, No. 3 (Russian), pp. 146--155. Ul\cprime janovsk. Gos. Univ., Ulyanovsk, 1974. (Reviewer: Robert S. Doran) 47A55 (47B25)

 

58 #16990 Ol\cprime \v sanski\u\i, G. I. Unitary representations of the infinite-dimensional classical groups U}(p, \infty ), SO(0}(p, \infty ), Sp(p, \infty ) and the corresponding motion groups. (Russian) Dokl. Akad. Nauk SSSR 238 (1978), no. 6, 1295--1298. (Reviewer: Robert S. Doran) 22E65

 

56 #16401 Kamei, Eizaburo; Kato, Yoshinobu Homotopical properties of partial isometries of the Calkin algebra. Math. Japon. 22 (1977), no. 1, 83--87. (Reviewer: Robert S. Doran) 46M20 (46L15 55D99)

 

 56 #16376 McKennon, Kelly Quasi-multipliers. Trans. Amer. Math. Soc. 233 (1977), 105--123. (Reviewer: Robert S. Doran) 46H05 (43A22 46L05)

 

56 #5779 Rosenberg, Jonathan The C*-algebras of some real and p-adic solvable groups. Pacific J. Math. 65 (1976), no. 1, 175--192. (Reviewer: Robert S. Doran) 22D25 (22E25)

 

56 #3577 Ando, Sei\v c An analogue of the Paley-Wiener theorem for a certain matrix group. (Russian) J. Math. Kyoto Univ. 16 (1976), no. 2, 375--393. (Reviewer: Robert S. Doran) 43A80 (22E25)

 

 55 #3805 Gootman, Elliot C.; Kannan, D. Zero-one laws in finite W*-algebras. J. Math. Anal. Appl. 55 (1976), no. 3, 743--756. (Reviewer: Robert S. Doran) 46L10

 

 55 #3684 Liepins, Gunar E. A Paley-Wiener theorem for locally compact abelian groups. Trans. Amer. Math. Soc. 222 (1976), 193--210. (Reviewer: Robert S. Doran) 43A32

 

 55 #3154 Sund, Terje A note on integrable representations. Proc. Amer. Math. Soc. 59 (1976), no. 2, 358--360. (Reviewer: Robert S. Doran) 22D30

 

 53 #14150 Lee, Ru Ying On the C*-algebras of operator fields. Indiana Univ. Math. J. 25 (1976), no. 4, 303--314. (Reviewer: Robert S. Doran) 46L05

 

 53 #13476 Funakosi, Shunsuke A decomposition theory for unitary representations of sigma-compact Lie group. Math. Sem. Notes Kobe Univ. 2 (1974), no. 2, paper no. XIV, 13 pp. (Reviewer: Robert S. Doran) 22E45

 

 47 #2378 Collins, H. S.; Fontenot, R. A. Approximate identities and the strict topology.  Pacific J. Math.  43  (1972), 63--79. (Reviewer: Robert S. Doran) 46K05

 

 47 #395 Jenkins, J. W. Free semigroups and unitary group representations. Studia Math. 43 (1972), 27--39. (Reviewer: Robert S. Doran) 22D05 (22D10 43A20 46K05)

 

 46 #9758 Elliott, George A. Perspectivity in the projection lattice of an AW*-algebra. Proc. Amer. Math. Soc. 38 (1973), 367--368. (Reviewer: Robert S. Doran) 46L10

 

 46 #9687 Poro\v skin, A. G. Partially ordered spaces of normal operators. (Russian) Leningrad. Gos. Ped. Inst. U\v cen. Zap. 496 (1972), no. 2, 294--330. (Reviewer: Robert S. Doran) 46A40 (47B15)

 

 46 #4234 Holmes, John P. Differentiable power-associative groupoids. Pacific J. Math. 41 (1972), 391--394. (Reviewer: Robert S. Doran) 46N05 (20N99)

 

 46 #3687 Kac, G. I. Certain arithmetic properties of ring groups. (Russian) Funkcional. Anal. i Prilo\v zen. 6 (1972), no. 2, 88--90. (Reviewer: Robert S. Doran) 22D25 (20C99 46N05)

 

 46 #679 Golodec, V. Ja. Spectral properties of modular operators. (Russian) Funkcional. Anal. i Prilo\v zen. 6 (1972), no. 1, 70--72. (Reviewer: Robert S. Doran) 46L10

 

45 #4157 Barnes, Bruce A. Pure states with the restriction property. Proc. Amer. Math. Soc. 33 (1972), 491--494. (Reviewer: Robert S. Doran) 46L05

 

45 #3639 \v Stern, A. I. The connection between the topologies of a locally bicompact group and its dual space. (Russian) Funkcional. Anal. i Prilo\v zen. 5 (1971), no. 4, 56--63. (Reviewer: Robert S. Doran) 22D05 (46L05)

 

45 #3636 Konju\v sihina, T. N. Decomposition of the Kronecker product of two representations of the fundamental series of the special group of second order matrices over the quaternion field. (Russian) Dokl. Akad. Nauk SSSR 201 (1971), 266--269. (Reviewer: Robert S. Doran) 20G05

 

 

Reviewer for the Bulletin of the American Mathematical Society.

 

Reviewer for Zentralblatt (German review journal).

 

Referee for the following mathematics journals:

 

 

Fundamenta Mathematicae

New Zealand Journal of Mathematics

Math Proceedings of Cambridge Philosophical Society

Communications in Algebra

Journal of the American Mathematical Society

Proceedings of the American Mathematical Society

Pacific Journal of Mathematics

Duke Mathematical Journal

American Mathematical Monthly

Bulletin of the American Mathematical Society

Bulletin of the Mexican Mathematical Society

Houston Journal of Mathematics

Michigan Journal of Mathematics

Rocky Mountain Journal of Mathematics

Publicationes Mathematicae Debrecen

Journal of the London Mathematical Society

Proceedings of the London Mathematical Society

Proceedings of the Edinburgh Mathematical Society

Texas Journal of Science

L’Enseignement Mathematique

Canadian Mathematical Bulletin

International Journal of Mathematics

Bulletin of the Calcutta Mathematical Society

Proceedings of the Royal Society of Edinburgh

Journal of Functional Analysis

Journal of Mathematical Analysis & Applications

International Journal of Modern Mathematics

 

 

Mathematical Consultant:

 

Cambridge University Press (Mathematics editor).

John Wiley Publishing Company

Addison-Wesley Publishing Company

Harper and Row Publishing Company

Holt, Reinhardt and Winston Publishing Company

American Mathematical Society

Mathematical Association of America

 

Ph.D. Dissertations directed:

 

1.      Dr. Jerry W. Fields (1972), “Linear mappings of Banach algebras and Banach algebras of vector-valued functions.”

 

2.      Dr. Albert Wayne Tiller (1972), “P-commutative Banach *-algebras, involutions, and extensions of pure positive functionals.”

 

3.      Dr. Josef Wichmann (1975), “The theory of Banach coalgebras.”

 

4.         Dr. Ronald L. Morgan (1979), “Szymanski properties in von Neumann

   algebras.”

 

Departmental assignments other than teaching:

 

Chair of the Mathematics Department 1990 - ; Graduate Committee; Executive Committee; Advisory Committee; Self-Study Committee; Library Committee; Summer Departmental Chairman (1978, 1980, 1989, 1990 - ).  (Served on most

of the above committees many times since 1969.)

 

University Committees:

 

(a)     Skills Development Committee.

(b)    Select Series Committee.

(c)     Library Committee.

(d)    Engineering Feasibility Committee.

(e)     Core Curriculum Committee.

(f)     University Wide Teacher Education Committee.

(g)    Fulbright, Rhodes, and Marshall Scholarship Committee 1990 - .

(h)    Honors Week Committee, 1989-1994: 1995-1999; 1999-2008.

(i)     Honors Council, 1995-1999; 1999-2000.

(j)     Teacher Admission and Retention Committee, 1989-2000.

 

Other University Service:

 

(a)     TCU Representative to select TANDY TEACHER SCHOLARS (1987 AND 1988) for the Tandy Corporation, Fort Worth, Texas.

(b)    Chairman, Phi Beta Kappa Members in Course Committee (1987-1992; 1999).

(c)     Vice President, Phi Beta Kappa (1988-1990).

(d)    President, Phi Beta Kappa (1990-1992).

(e)     Faculty Sponsor:

Parabola Mathematics Club, 1970-1979 (ten years).

Alpha Lambda-Delta National Honor Society, 1977-1978, 1988-1989.

Campus Crusade for Christ, 1973 -

TCU Chapter of Young Life, 1986 –

Beta Upsilon Chi (BUX), 1989 -

Mortar Board, 1993-1995.

(f)     Premajor Advisor: 1976-1980, 1984-1990.

(g)    Orientation Freshman Advisor; Faculty Partner, 1989 - .

(h)    Mathematics department representative: Mondays at TCU.

(i)     Mathematics department representative: UNPR-Class-Self-Assessment and Career  Exploration.

(j)     Mathematics department representative: TCU Athletic department for recruiting athletes.

(k)    Beckenbach Award Prize Committee for MAA; Appointed by President Leonard Gillman of MAA, 1989-1994.   Chairman, 1991-1992.

(l)     AMS Library Committee, 1989-1996; 2000-2004 Appointed by President Browder of AMS.

(m)   Campus Mentor Program, 1989- .

(n)    TCU Mathematics Research Lectureship Coordinator (107 research mathematicians have been sponsored by the TCU Research Lectureship Program).

(o)    President, Sigma Xi, 1983-1984.

(p)    Summer Orientation Review Committee, 1997-2004.

(q)     Faculty Marshall, 1994-2000.

 

Community activities directly related to professional skills:

 

(a)     Listed in TCU “On Call” booklet for community service.

(b)    Speaker at Mathematics In-Service Institute for teachers.

(c)     Speaker for High School Mathematics Clubs.

(d)    Speaker for students in “Institute for Gifted Students.”

 

Memberships held in professional organizations:

 

(a)     Phi Beta Kappa.

(b)    Sigma Xi Scientific Honor Society.

(c)     Pi Mu Epsilon Mathematics Honor Society.

(d)    American Mathematical Society.

(e)     Mathematical Association of America.

(f)        Institute for Advanced Study, Association of Members.

 

 

Other activities not included in any of the above categories (1969 – 2008)

 

(a)     Direction of three undergraduate HONORS RESEARCH STUDENTS:  T. Brown,  A. Crayton, and R. Morgan.

(b)    TCU/RF Grant #M7121, 1972, $6,000.00.

(c)     NSF Grant #DMS-8913260, 1989-1990, $19,468.

(d)    TCU Research Lectureship Fund 1990-1991, $1,700.00.

(e)     TCU Research Lectureship Fund 1991-1992, $1,990.00.

(f)     TCU Research Lectureship Fund 1992-1993, $1,990.00.

(g)    TCU Research Lectureship Fund 1993-1994, $1,750.00.

(h)    TCU Research Lectureship Fund 1994-1995, $1,750.00.

(i)     TCU Research Lectureship Fund 1995-1996, $1,990.00.

(j)     TCU Research Lectureship Fund  l996-1997, $1,990.00.

(k)    TCU Research Lectureship Fund 1997-1998, $1,890.00.

(l)     Application, Summer Stipend, 1987, 1988, 1989, 1990, 1991, 1999.

(m)   NSF Grant 1996, $24,101 (with Z. Dou and G. Gilbert)

(n)    Frank Stones Mathematics Research Lectureship, 1998 -

(o)    NSF Grant 1996-1997, Goro Shimura CBMS Conference, $24,500.00

(p)    NSF Grant 2008-2009, J. Rosenberg CBMS Conference, $33,080.00

 

University courses taught:

 

Undergraduate:  Fundamentals of algebra; topics in mathematics; pre-calculus algebra; trigonometry; finite mathematics; business calculus; Calculus I, II, III; modern mathematics; advanced calculus; linear algebra; differential equations; elementary topology; mathematical analysis I, II.

 

Graduate:  Set theory and foundations of mathematics; real analysis; measure theory; Haar integral; general topology; topological groups; operators in Hilbert space; functional analysis I, II; abstract harmonic analysis; Banach algebras; von Neumann algebras; C*-algebras; ergodic theory; representations of locally compact groups; seminars in functional analysis, topological vector spaces, operator algebras, operator theory, and bundle theory.