ROBERT S. DORAN
The John William and Helen
Stubbs
Potter Professor of
Mathematics
Texas Christian University
Fort Worth, Texas 76129
(817) 257-7335
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, Coln, 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)
Chancellors 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).
Chancellors Award for Distinguished Research 1993 (Natural Science Representative)
Chancellors 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, Chancellors 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, Chancellors Award for Distinguished Research (four times 1985, 1987, 1991 and 1993)
Marquis Whos Who in the World
Marquis Whos Who in America
Marquis Whos Who in the South and Southwest
Marquis Whos Who in Science and Engineering
Marquis Whos Who in Education
American Men and Women of Science
Whos 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. Dieudonn, 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, LEnseignement Mathmatique 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, LEnseignement Mathmatique 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 Americas 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, Kings 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 ABCs 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; A\i
kgz, 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. Algbres poids gnralises.
(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; Grchenig,
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. Rgularit d'une algbre
$m$-convexe 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)
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Datry, Christian; Muraz, Gilbert Analyse harmonique dans les modules de Banach.
I. Proprits gnrales. (French) [Harmonic analysis in Banach modules. I.
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Zelazko, W. Open problems and some results on strongly closed subalgebras of
B(X). Tartu l. Toimetised No. 970 (1994), 125--130. (Reviewer: Robert S.
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Kaniuth, Eberhard; Schlichting, Gnter; Taylor, Keith F. Minimal primal and
Glimm ideal spaces of group C*-algebras. J. Funct. Anal. 130 (1995), no. 1,
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Takahasi, Sin-ei BSE Banach modules and multipliers. J. Funct. Anal. 125
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Baumgrtel, H. Fourier transformation of Hilbert C*-systems, with compact
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Tsertos, Yannis Representations and extensions of positive functionals on
*-algebras. Boll. Un. Mat. Ital. B (7) 8 (1994), no. 3, 541--555. (Reviewer:
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Kitchen, J. W.; Robbins, D. A. Bundles of Banach algebras. II. Houston J. Math.
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Kitchen, J. W.; Robbins, D. A. Bundles of Banach algebras. Internat. J. Math.
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Frank, M.; Manuui lov, V. M. Diagonalizing "compact" operators on
Hilbert W*-modules. Z. Anal. Anwendungen 14 (1995), no. 1, 33--41. (Reviewer:
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Hauser, Raphael A.; Matzinger, Heinrich, III Compact elements and smallest
faithful representation of C*-algebras. Proc. Amer. Math. Soc. 123 (1995), no.
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Kaniuth, Eberhard Measures on locally compact groups whose Fourier-Stieltjes
transforms vanish at infinity and group C*-algebras. Math. Scand. 75 (1994),
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Porta, Horacio; Recht, Lzaro Conditional expectations and operator
decompositions. Ann. Global Anal. Geom. 12 (1994), no. 4, 335--339. (Reviewer:
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Haagerup, Uffe; Rrdam, Mikael C*-algebras of unitary rank two. J. Operator
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\.Zelazko, W. On strongly closed subalgebras of B(X). Colloq. Math. 67 (1994),
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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.
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Fujimoto, Ichiro A Gelfand-Naimark theorem for C*-algebras. Algebraic methods
in operator theory, 124--133, Birkhuser Boston, Boston, MA, 1994. (Reviewer:
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Pestov, Vladimir G. Operator spaces and residually finite-dimensional
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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.
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Arazy, Jonathan Isometries of Banach algebras satisfying the von Neumann
inequality. Math. Scand. 74 (1994), no. 1,
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Yamanouchi, Takehiko Duality for generalized Kac algebras and a
characterization of finite groupoid algebras. J. Algebra 163 (1994), no. 1,
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Saworotnow, P. P. Diagonalization of unbounded selfadjoint operators acting on
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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
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Yood, Bertram On Banach algebras with a Jordan involution. Dedicated to the
memory of Professor Gottfried Kthe. Note Mat. 11 (1991), 331--333. (Reviewer:
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Patterson, Paul L. Involutions on algebras arising from locally compact groups.
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Enock, Michel; Vallin, Jean-Michel C*-algbres de Kac et algbres de Kac.
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Bhatt, Subhash J.; Karia, Dinesh J. An intrinsic characterization of
Pro-C*-algebras and its applications. J. Math. Anal. Appl. 175 (1993), no. 1,
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Bhatt, Subhash J.; Karia, Dinesh J. Topological algebras with C*-enveloping
algebras. Proc. Indian Acad. Sci. Math. Sci. 102 (1992), no. 3, 201--215.
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Li, Bing Ren Introduction to operator algebras. World Scientific Publishing
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Corach, Gustavo; Porta, Horacio; Recht, Lzaro Splitting of the positive set of
a C*-algebra. Indag. Math. (N.S.) 2 (1991), no. 4, 461--468. (Reviewer: Robert
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Mata-Lorenzo, Luis E.; Recht, Lzaro Infinite-dimensional homogeneous reductive
spaces. Acta Cient. Venezolana 43 (1992), no. 2, 76--90. (Reviewer: Robert S.
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Fragoulopoulou, Maria A characterization of maximal regular ideals in lmc
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Singh, Ajit Iqbal; Mittal, Neelam Complete finite representability in
C*-algebras. Yokohama Math. J. 38 (1991), no. 2, 83--94. (Reviewer: Robert S.
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Fragoulopoulou, Maria Tensor products of locally C*-algebras and applications.
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Kadison, Richard V.; Ringrose, John R. Fundamentals of the theory of operator
algebras. Vol. IV. Special topics. Advanced theory---an exercise approach.
Birkhuser 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)
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Fragoulopoulou, Maria Symmetric topological *-algebras. II. Atti Sem. Mat. Fis.
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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.
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Blanchard, tienne Reprsentations de champs de C*-algbres. (French)
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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)
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Grchenig, Karlheinz; Kaniuth, Eberhard; Taylor, Keith F. Compact open sets in
duals and projections in L_1-algebras of certain semi-direct product
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Forrest, Brian Arens regularity and discrete groups. Pacific J. Math. 151
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Dutta, Tarini Kumar Hermitian operators on C*-algebras. Nat. Acad. Sci. Lett.
14 (1991), no. 8, 347--350. (Reviewer: Robert S. Doran) 46L05 (47B15)
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Kadison, Richard V.; Ringrose, John R. Fundamentals of the theory of operator
algebras. Vol. III. Special topics. Elementary theory---an exercise approach.
Birkhuser Boston, Inc., Boston, MA, 1991. xiv+273 pp. ISBN: 0-8176-3497-5
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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,
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\Zelazko, Wies\l aw On a problem of Fell and Doran. Colloq. Math. 62 (1991),
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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.
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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.
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Bhatt, Subhash J.; Karia, Dinesh J. Complete positivity, tensor products and
C*-nuclearity for inverse limits of C*-algebras. Proc. Indian Acad. Sci. Math.
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Alberti, Peter M. On the geometry of pairs of positive linear forms. I. Wiss.
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Pavone, Marco On norm-closed ideals in von Neumann algebras. Boll. Un. Mat.
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Arzumanian, V.; Grigorian, S. Invariant algebras of operator fields on compact
abelian groups. Izv. Akad. Nauk Armyan. SSR Ser. Mat. 25 (1990), no. 4,
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Fragoulopoulou, Maria An introduction to the representation theory of
topological *-algebras. Schriftenreihe des Mathematischen Instituts der
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Boca, Florin Free products of completely positive maps and spectral sets. J.
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Beggs, Edwin J.; Evans, David E. Real rank zero families of C*-algebras. C. R.
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Arzumanian, Victor; Grigorian, Suren
Noncommutative uniform algebras. Linear operators in function spaces
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Kadison, Richard V. Operator algebras---an overview. The legacy of John von
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Saito, Kazuyuki Representations of C*-algebras and regular completions. J.
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Fragoulopoulou, Maria Automatic continuity of *-morphisms between nonnormed topological *-algebras.
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Mller, Thomas C*-semigroup bundles and C*-algebras whose irreducible
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Bdos, Erik On actions of amenable groups on II_1-factors. J. Funct. Anal. 91 (1990), no. 2,
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Frank, M. Self-duality and C*-reflexivity of Hilbert C*-moduli. Z. Anal.
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Dixon, P. G. Factorization and unbounded approximate identities in Banach
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Li, Bing Ren A noncommutative generalization of Gel fand-Naimark theorem. Sci.
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So\l tysiak, Andrzej On C*-algebras satisfying spectral maximum principles.
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Exel, Ruy C*-algebras and harmonic analysis. Analyse harmonique: Groupe de
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Archbold, R. J.; Somerset, D. W. B. Quasi-standard C*-algebras. Math. Proc.
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Magyar, Zoltn On commutativity and spectral radius property of real generalized
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Magyar, Zoltn A characterization of (real or complex) Hermitian algebras and
equivalent C*-algebras. Acta Sci. Math. (Szeged) 53 (1989), no. 3-4, 345--353.
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Takahasi, Sin-ei; Hatori, Osamu Commutative Banach algebras which satisfy a
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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
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Hadwin, Don A Bishop-Stone-Weierstrass theorem for C*-algebras. Indiana Univ.
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Nassopoulos, George F. Duality and functional representations of certain
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Kato, Yoshinobu Ptk type theorem for C*-algebras. Arch. Math. (Basel) 50
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Fragoulopoulou, M. Symmetric topological *-algebras. Period. Math. Hungar. 19
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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,
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Khan, Liaqat Ali Mackey space problem for double centralizer algebras. Punjab
Univ. J. Math. (Lahore) 20 (1987), 7--12. (Reviewer: Robert S. Doran) 46K05
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Ghahramani, F. Compact homomorphisms of C*-algebras. Proc. Amer. Math. Soc. 103
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Papatriantafillou, Maria H. Methods of differentiation in topological A-modules. Bull. Soc. Math. Grce
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Chryssakis, Thanassis Numerical range and Gateaux differential in topological
algebras. Bull. Soc. Math. Grce (N.S.) 28 (1987), , part A, 7--14. (Reviewer:
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Behncke, H. On the Calkin representations of B(H). Proc. Amer. Math. Soc.
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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.
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Beckhoff, Ferdinand Korovkin-Theorie in Algebren. (German) [Korovkin theory in
algebras] Schriftenreihe des Mathematischen Instituts der Universitt Mnster,
2. Serie [Series of the Mathematical Institute of the University of Mnster,
Series 2], 45. Universitt Mnster, Mathematisches Institut, Mnster, 1987.
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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.
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Hennings, M. A. A characterisation of C*-algebras. Proc. Edinburgh Math. Soc.
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Alda, Vclav; Vrbov, Pavla A remark on C*-algebras. Czechoslovak Math. J.
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Vasudevan, R.; Goel, Satya Quasimultipliers and normed full direct-sum of
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Laursen, K. B. Continuity of homomorphisms from C*-algebras into commutative
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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
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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:
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Hauenschild, Wilfried Zwei Dualrume der unendlichen, symmetrischen Gruppe.
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Hauenschild, Wilfried; Kirchhoff, Holger Der Raum Prim(C*(G)) fr eine
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Chien, Mao Ting Homogeneous C*-algebras. Soochow J. Math. 11 (1985), 55--67.
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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
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Saworotnow, Parfeny P. Diagonalization of a selfadjoint operator acting on a
Hilbert module. Internat. J. Math. Math. Sci. 8 (1985), no. 4, 669--675.
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Magyar, Zoltn; Sebestyn, Zoltn On the definition of $C*-algebras. II. Canad.
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Arendt, Wolfgang An order theoretical characterization of the Fourier
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Stochel, J.; Szafraniec, F. H. Boundedness of linear and related nonlinear
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Bachar, John M., Jr. Some results on range transformations between function
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Auslander, Louis A factorization theorem for the Fourier transform of a
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Special functions: group theoretical aspects and applications, 261--269, Math. Appl., Reidel,
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Takahasi, Sin-ei Remarks on quasicentral approximate identities. Manuscripta
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Cohen, Joel M. C*-algebras of abelian groups. J. Pure Appl. Algebra 33 (1984),
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Yood, Bertram Structure spaces of rings and Banach algebras. Michigan Math. J.
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Lau, Anthony To Ming Analysis on a class of Banach algebras with applications
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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 Stze vom Radon-Nikodym-Typ fr Funktionale auf B*-Algebren.
(German) [Theorems of Radon-Nikodym type for functionals on B*-algebras]
Schriftenreihe des Mathematischen Instituts der Universitt Mnster, Ser. 2
[Series of the Mathematical Institute of the University of Mnster, Ser. 2],
22. Universitt Mnster, Mathematisches Institut, Mnster, 1981. i+80 pp.
(Reviewer: Robert S. Doran) 46L05 (book)
83m:46082
Hegh-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) Sgakushi Kenky No. 86 (1980), 47--52, 93--94.
(Reviewer: Robert S. Doran) 46L10 (46L50 47C15)
83f:46055
Ch'an, Jn Chung; Lee, Wen Shyong On the Gelfand-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 Dualittstheorie 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 Proprits spectrales des algbres 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
LEnseignement
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.