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Jacques Dixmier
Born
24 May 1924 (1924-05-24) (age 100)
Saint-Étienne, France
Alma mater
University of Paris
Known for
Dixmier condition Dixmier conjecture Dixmier mapping Dixmier problem Dixmier trace
Awards
Prix de l'État (1962) Prix Ampère (1976) Leroy P. Steele Prize (1992) Émile-Picard-Medaille (2001)
Scientific career
Fields
Mathematics
Institutions
University of Paris
Thesis
Étude sur les variétés et les opérateurs de Julia avec quelques applications[1]
Doctoral advisor
Gaston Julia
Doctoral students
Alain Connes Michel Duflo Michèle Vergne Nicole Berline
Jacques Dixmier (born 24 May 1924) is a French mathematician. He worked on operator algebras, especially C*-algebras, and wrote several of the standard reference books on them, and introduced the Dixmier trace and the Dixmier mapping.[2]
^Jacques Dixmier at the Mathematics Genealogy Project
^Turkevich, Ludmilla Buketoff; Turkevich, John, eds. (1968). Prominent Scientists of Continental Europe. American Elsevier Publishing Company. p. 43. ISBN 9780444000460. Retrieved 9 March 2021.
JacquesDixmier (born 24 May 1924) is a French mathematician. He worked on operator algebras, especially C*-algebras, and wrote several of the standard...
In algebra the Dixmier conjecture, asked by JacquesDixmier in 1968, is the conjecture that any endomorphism of a Weyl algebra is an automorphism. Tsuchimoto...
In mathematics, the Dixmier trace, introduced by JacquesDixmier (1966), is a non-normal[clarification needed] trace on a space of linear operators on...
1950, etc. Oeuvres, 6 vols., Paris, Gauthier-Villars 1968-1970 (eds. JacquesDixmier, Michel Hervé, with foreword by Julia) Leçons sur les Fonctions Uniformes...
PhD from Pierre and Marie Curie University, under the supervision of JacquesDixmier. From 1970 to 1974 he was research fellow at the French National Centre...
Supérieure-trained students at that time (Pierre Samuel, Roger Godement, René Thom, JacquesDixmier, Jean Cerf, Yvonne Bruhat, Jean-Pierre Serre, and Bernard Malgrange)...
members joined: Jean-Pierre Serre, Pierre Samuel, Jean-Louis Koszul, JacquesDixmier, Roger Godement, and Sammy Eilenberg. These people constituted the...
The Dixmier map I is defined by letting I(f) be the kernel of the twisted induced representation Ind~(f|h,g) for a polarization h. Dixmier, Jacques (1963)...
to Roger Godement. Their work was put in final form in the 1950s by JacquesDixmier as part of the theory of Hilbert algebras. It was not until the late...
revise it. In the summer of 1967 Takesaki communicated the results to JacquesDixmier, and they became a major influence on the work of his student Alain...
Calderon Lennart Carleson Jean Cerf Paul Joseph Cohen Ennio De Giorgi JacquesDixmier Adrien Douady N. V. Efimov Peter Elias Ju. L. Ersov Paul R. Garabedian...
di Palermo, 30 (1): 289–335, doi:10.1007/BF03014877, S2CID 122509369. Dixmier, J. (1969), Les C*-algèbres et leurs Représentations, Gauthier Villars...
unitarizability of uniformly bounded representations was extended in 1950 by Dixmier, Day and Nakamura-Takeda to all locally compact amenable groups, following...
i ∈ L 2 ( G ) . {\displaystyle f_{i}\in L^{2}(G).} By a theorem of JacquesDixmier and Paul Malliavin, every smooth compactly supported function on G...
normale supérieure and received a doctorate under the supervision of JacquesDixmier. Currently, he is an emeritus professor at the University of Paris...
§ History Dixmier mapping A primitive ideal tends to be more of interest than a prime ideal in non-commutative ring theory. Dixmier, Jacques (1996) [1974]...
that φ = Uψ. Dixmier, Jacques (1957). Les algèbres d'opérateurs dans l'espace hilbertien: algèbres de von Neumann. Gauthier-Villars. Dixmier, Jacques (1981)...
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