Dixmier, Jacques
Overview
Works:  102 works in 637 publications in 9 languages and 6,415 library holdings 

Genres:  Conference papers and proceedings Fiction 
Roles:  Author, Editor, Honoree, Dedicatee, Publishing director 
Classifications:  QA3, 512.55 
Publication Timeline
.
Most widely held works by
Jacques Dixmier
Von Neumann algebras by
Jacques Dixmier(
Book
)
77 editions published between 1956 and 2011 in 7 languages and held by 949 WorldCat member libraries worldwide
77 editions published between 1956 and 2011 in 7 languages and held by 949 WorldCat member libraries worldwide
Enveloping algebras by
Jacques Dixmier(
Book
)
41 editions published between 1976 and 2009 in 3 languages and held by 598 WorldCat member libraries worldwide
41 editions published between 1976 and 2009 in 3 languages and held by 598 WorldCat member libraries worldwide
General topology by
Jacques Dixmier(
Book
)
25 editions published between 1981 and 2010 in 3 languages and held by 585 WorldCat member libraries worldwide
This book is a course in general topology, intended for students in the first year of the second cycle (in other words, students in their third univer sity year). The course was taught during the first semester of the 197980 academic year (three hours a week of lecture, four hours a week of guided work). Topology is the study of the notions of limit and continuity and thus is, in principle, very ancient. However, we shall limit ourselves to the origins of the theory since the nineteenth century. One of the sources of topology is the effort to clarify the theory of realvalued functions of a real variable: uniform continuity, uniform convergence, equicontinuity, BolzanoWeierstrass theorem (this work is historically inseparable from the attempts to define with precision what the real numbers are). Cauchy was one of the pioneers in this direction, but the errors that slip into his work prove how hard it was to isolate the right concepts. Cantor came along a bit later; his researches into trigonometric series led him to study in detail sets of points of R (whence the concepts of open set and closed set in R, which in his work are intermingled with much subtler concepts). The foregoing alone does not justify the very general framework in which this course is set. The fact is that the concepts mentioned above have shown themselves to be useful for objects other than the real numbers
25 editions published between 1981 and 2010 in 3 languages and held by 585 WorldCat member libraries worldwide
This book is a course in general topology, intended for students in the first year of the second cycle (in other words, students in their third univer sity year). The course was taught during the first semester of the 197980 academic year (three hours a week of lecture, four hours a week of guided work). Topology is the study of the notions of limit and continuity and thus is, in principle, very ancient. However, we shall limit ourselves to the origins of the theory since the nineteenth century. One of the sources of topology is the effort to clarify the theory of realvalued functions of a real variable: uniform continuity, uniform convergence, equicontinuity, BolzanoWeierstrass theorem (this work is historically inseparable from the attempts to define with precision what the real numbers are). Cauchy was one of the pioneers in this direction, but the errors that slip into his work prove how hard it was to isolate the right concepts. Cantor came along a bit later; his researches into trigonometric series led him to study in detail sets of points of R (whence the concepts of open set and closed set in R, which in his work are intermingled with much subtler concepts). The foregoing alone does not justify the very general framework in which this course is set. The fact is that the concepts mentioned above have shown themselves to be useful for objects other than the real numbers
Les C*algèbres et leurs représentations by
Jacques Dixmier(
Book
)
50 editions published between 1964 and 1996 in 3 languages and held by 504 WorldCat member libraries worldwide
50 editions published between 1964 and 1996 in 3 languages and held by 504 WorldCat member libraries worldwide
C*algebras by
Jacques Dixmier(
Book
)
26 editions published between 1971 and 2007 in 4 languages and held by 422 WorldCat member libraries worldwide
Almost fourfifths of this book deals with the study of C*algebras, and the main results due, among others, to Fell, Glimm, Kadison, Kaplansky, Mackey and Segal are expounded. Because of the amount of material accumulated on unitary representations of groups, the latter pages of the book are devoted to a brief account of some aspects of this subject, particularly since the theory of groups provides some of the most interesting examples of C*algebras. The theory of C*algebras is still expanding rapidly, but this work remains a clear and accessible introduction to the fundamentals of the subject
26 editions published between 1971 and 2007 in 4 languages and held by 422 WorldCat member libraries worldwide
Almost fourfifths of this book deals with the study of C*algebras, and the main results due, among others, to Fell, Glimm, Kadison, Kaplansky, Mackey and Segal are expounded. Because of the amount of material accumulated on unitary representations of groups, the latter pages of the book are devoted to a brief account of some aspects of this subject, particularly since the theory of groups provides some of the most interesting examples of C*algebras. The theory of C*algebras is still expanding rapidly, but this work remains a clear and accessible introduction to the fundamentals of the subject
Non commutative harmonic analysis : actes du Colloque d'analyse harmonique non commutative, MarseilleLuminy, 1 au 5 juillet
1974 by
Colloque d'analyse harmonique non commutative(
Book
)
23 editions published between 1975 and 2008 in 4 languages and held by 368 WorldCat member libraries worldwide
Annotation
23 editions published between 1975 and 2008 in 4 languages and held by 368 WorldCat member libraries worldwide
Annotation
Operator algebras, unitary representations, enveloping algebras, and invariant theory : actes du colloque en l'honneur de
Jacques Dixmier by
Colloque en l'Honneur de Jacques Dixmier(
Book
)
15 editions published between 1990 and 1991 in 3 languages and held by 304 WorldCat member libraries worldwide
15 editions published between 1990 and 1991 in 3 languages and held by 304 WorldCat member libraries worldwide
L'intégrale de Lebesgue by
Jacques Dixmier(
Book
)
24 editions published between 1961 and 1986 in 3 languages and held by 143 WorldCat member libraries worldwide
24 editions published between 1961 and 1986 in 3 languages and held by 143 WorldCat member libraries worldwide
Sur les soussommes d'une partition by
Jacques Dixmier(
Book
)
13 editions published between 1988 and 1989 in French and held by 100 WorldCat member libraries worldwide
13 editions published between 1988 and 1989 in French and held by 100 WorldCat member libraries worldwide
Algèbres de lie by
Jacques Dixmier(
Book
)
22 editions published between 1955 and 1963 in French and Undetermined and held by 81 WorldCat member libraries worldwide
22 editions published between 1955 and 1963 in French and Undetermined and held by 81 WorldCat member libraries worldwide
Sur les structures boréliennes du spectre d'une C*algèbre. Opérateurs de rang fini dans les représentations unitaires by
Jacques Dixmier(
Book
)
16 editions published in 1960 in French and English and held by 72 WorldCat member libraries worldwide
16 editions published in 1960 in French and English and held by 72 WorldCat member libraries worldwide
Le théâtre quantique : l'horloge des anges icibas by
Alain Connes(
Book
)
3 editions published in 2013 in French and held by 41 WorldCat member libraries worldwide
3 editions published in 2013 in French and held by 41 WorldCat member libraries worldwide
Algèbres de Von Neumann by
Jacques Dixmier(
Book
)
4 editions published between 1955 and 1957 in French and held by 34 WorldCat member libraries worldwide
4 editions published between 1955 and 1957 in French and held by 34 WorldCat member libraries worldwide
Problèmes de mesure by
Henri Cartan(
Book
)
6 editions published between 1959 and 1962 in French and Undetermined and held by 32 WorldCat member libraries worldwide
6 editions published between 1959 and 1962 in French and Undetermined and held by 32 WorldCat member libraries worldwide
Cours de mathématiques du premier cycle : exercices, indications de solutions, résponses by
Jacques Dixmier(
Book
)
7 editions published between 1973 and 1976 in French and held by 23 WorldCat member libraries worldwide
7 editions published between 1973 and 1976 in French and held by 23 WorldCat member libraries worldwide
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Audience Level
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Related Identities
 Vergne, Michèle Editor
 Carmona, Jacques 1934 Author Editor
 Dugac, Pierre Collector Contributor
 Connes, Alain Author Editor
 Hervé, Michel (Michel A.) Publishing director Editor
 Julia, Gaston 18931978 Author
 Cartan, Henri (19042008) Author
 Société mathématique de France Organizer of meeting
 Chéreau, Danye
 Association des professeurs de mathématiques de l'enseignement public (France) Organizer of meeting
Useful Links
Associated Subjects
Algebra Algebra, Abstract Algebraic fields Algebraic topology Banach spaces C*algebras Continuous groups Functional analysis Functions Generalized spaces Harmonic analysis Hilbert space Ideals (Algebra) Integrals Integrals, Generalized Invariants Lebesgue integral Lie algebras Lie groups Locally compact groups Mathematics Measure theory Operator algebras Partitions (Mathematics) Pi Quantum theory Representations of algebras Representations of groups Topological groups Topology Universal enveloping algebras Von Neumann, John, Von Neumann algebras
Alternative Names
Diksm'e, Ž.
Diksmʹe, Zh.
Diksmʹe, Zhak
Dixmier, J.
Dixmier, Jacques
Jacques Dixmier francouzský matematik
Jacques Dixmier Frans wiskundige
Jacques Dixmier fransk matematikar
Jacques Dixmier fransk matematiker
Jacques Dixmier französischer Mathematiker
Jacques Dixmier French mathematician
Jacques Dixmier matematico francese
Диксмье, Ж..
Жак Диксмье французский математик
ジャック・ディキシミエ
雅克·迪斯米埃
Languages
French
(186)
English (127)
Russian (8)
Dutch (4)
German (2)
Portuguese (2)
Turkish (1)
Multiple languages (1)
Spanish (1)
English (127)
Russian (8)
Dutch (4)
German (2)
Portuguese (2)
Turkish (1)
Multiple languages (1)
Spanish (1)
Covers