Dixmier, Jacques
Overview
Works:  206 works in 705 publications in 6 languages and 6,650 library holdings 

Genres:  Conference papers and proceedings Fiction 
Roles:  Author, Editor, Honoree, Thesis advisor, Dedicatee, Other, Publishing director 
Publication Timeline
.
Most widely held works by
Jacques Dixmier
Enveloping algebras by
Jacques Dixmier(
Book
)
66 editions published between 1974 and 2009 in 5 languages and held by 1,043 WorldCat member libraries worldwide
66 editions published between 1974 and 2009 in 5 languages and held by 1,043 WorldCat member libraries worldwide
C*algebras by
Jacques Dixmier(
Book
)
63 editions published between 1964 and 2007 in 6 languages and held by 1,027 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
63 editions published between 1964 and 2007 in 6 languages and held by 1,027 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
General topology by
Jacques Dixmier(
Book
)
25 editions published between 1981 and 2010 in 3 languages and held by 651 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 651 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 algébres d'opérateurs dans l'espace hilbertien by
Jacques Dixmier(
Book
)
54 editions published between 1956 and 1996 in 5 languages and held by 585 WorldCat member libraries worldwide
54 editions published between 1956 and 1996 in 5 languages and held by 585 WorldCat member libraries worldwide
Von Neumann algebras by
Jacques Dixmier(
Book
)
22 editions published between 1981 and 2011 in 3 languages and held by 526 WorldCat member libraries worldwide
22 editions published between 1981 and 2011 in 3 languages and held by 526 WorldCat member libraries worldwide
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
)
12 editions published in 1975 in 3 languages and held by 515 WorldCat member libraries worldwide
12 editions published in 1975 in 3 languages and held by 515 WorldCat member libraries worldwide
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
)
13 editions published between 1990 and 1991 in English and French and held by 313 WorldCat member libraries worldwide
13 editions published between 1990 and 1991 in English and French and held by 313 WorldCat member libraries worldwide
Cours de mathématiques du premier cycle by
Jacques Dixmier(
Book
)
63 editions published between 1967 and 1994 in French and Undetermined and held by 291 WorldCat member libraries worldwide
63 editions published between 1967 and 1994 in French and Undetermined and held by 291 WorldCat member libraries worldwide
Cours de mathématiques du premier cycle : deuxième année : exercices, indications de solutions, réponses by
Jacques Dixmier(
Book
)
28 editions published between 1968 and 1992 in French and held by 238 WorldCat member libraries worldwide
28 editions published between 1968 and 1992 in French and held by 238 WorldCat member libraries worldwide
Œuvres de Gaston Julia by
Gaston Julia(
Book
)
8 editions published between 1968 and 1969 in French and held by 118 WorldCat member libraries worldwide
8 editions published between 1968 and 1969 in French and held by 118 WorldCat member libraries worldwide
Sur les soussommes d'une partition by
Jacques Dixmier(
Book
)
10 editions published between 1988 and 1989 in French and held by 104 WorldCat member libraries worldwide
10 editions published between 1988 and 1989 in French and held by 104 WorldCat member libraries worldwide
Cours de mathématiques du premier cycle : Première année : avec exercices corrigés by
Jacques Dixmier(
Book
)
5 editions published between 1997 and 2001 in French and held by 91 WorldCat member libraries worldwide
5 editions published between 1997 and 2001 in French and held by 91 WorldCat member libraries worldwide
L'intégrale de Lebesgue by
Jacques Dixmier(
Book
)
9 editions published between 1961 and 1969 in French and held by 89 WorldCat member libraries worldwide
9 editions published between 1961 and 1969 in French and held by 89 WorldCat member libraries worldwide
Algèbres de lie by
Jacques Dixmier(
Book
)
24 editions published between 1955 and 1963 in French and Undetermined and held by 82 WorldCat member libraries worldwide
24 editions published between 1955 and 1963 in French and Undetermined and held by 82 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
)
13 editions published in 1960 in French and English and held by 59 WorldCat member libraries worldwide
13 editions published in 1960 in French and English and held by 59 WorldCat member libraries worldwide
Le théâtre quantique : l'horloge des anges icibas by
Alain Connes(
Book
)
4 editions published between 2013 and 2018 in French and held by 57 WorldCat member libraries worldwide
Ce livre vous propose de pénétrer au cůr du théâtre quantique en vous offrant une voie d accès rapide à l univers magique de la mécanique quantique, découverte essentielle du XXe siècle qui défie notre intuition
4 editions published between 2013 and 2018 in French and held by 57 WorldCat member libraries worldwide
Ce livre vous propose de pénétrer au cůr du théâtre quantique en vous offrant une voie d accès rapide à l univers magique de la mécanique quantique, découverte essentielle du XXe siècle qui défie notre intuition
Cours de mathématiques du premier cycle by
Jacques Dixmier(
Book
)
6 editions published between 1967 and 1976 in French and held by 49 WorldCat member libraries worldwide
6 editions published between 1967 and 1976 in French and held by 49 WorldCat member libraries worldwide
Algèbres de Von Neumann by
Jacques Dixmier(
Book
)
4 editions published between 1955 and 1957 in French and held by 36 WorldCat member libraries worldwide
4 editions published between 1955 and 1957 in French and held by 36 WorldCat member libraries worldwide
Cours de mathématiques du premier cycle. exercices, indications de solutions, réponses by
Jacques Dixmier(
Book
)
2 editions published in 1976 in French and held by 35 WorldCat member libraries worldwide
2 editions published in 1976 in French and held by 35 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 33 WorldCat member libraries worldwide
6 editions published between 1959 and 1962 in French and Undetermined and held by 33 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 Other Author Editor
 Jellett, Francis Translator
 Julia, Gaston 18931978 Author
 Hervé, Michel (Michel A.) Editor
 Chéreau, Danye
 Société mathématique de France Organizer of meeting
 Cartan, Henri (19042008) Author
Useful Links
Associated Subjects
Algebra Algebra, Abstract Algebra, Universal Algebraic fields Algebraic topology Banach spaces C*algebras Continuous groups Free probability theory Functional analysis Generalized spaces Harmonic analysis Hilbert space Ideals (Algebra) Integrals, Generalized Invariants Lebesgue integral Lie algebras Lie groups Locally compact groups Mathematics MathematicsStudy and teaching MathematicsStudy and teaching (Secondary) Measure theory Normed linear spaces Operator algebras Operator spaces Partitions (Mathematics) Pi Quantum theory Representations of algebras Representations of groups Spectral theory (Mathematics) Topology Universal enveloping algebras Von Neumann, John, Von Neumann algebras
Covers
Alternative Names
Diksm'e, Ž.
Diksmʹe, Ž. 1924
Diksmʹe, Zh.
Diksmʹe, Zhak
Diximier, J.
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 matemático francés
Jacques Dixmier matematico francese
Jacques Dixmier mathématicien français
Диксмье, Ж..
Жак Диксмье французский математик
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ジャック・ディキシミエ
雅克·迪斯米埃
Languages