Jacques Dixmier

from Wikipedia, the free encyclopedia

Jacques Dixmier (* 1924 in Saint-Étienne ) is a French mathematician who was a member of the Nicolas Bourbaki group.

Life

Dixmier began studying mathematics in 1942 at the École normal supérieure . He was employed in 1947 at the Center national de la recherche scientifique and received his doctorate there in 1949 under Gaston Julia ; his dissertation was entitled Étude sur les variétés et les opérateurs de Julia avec quelques applications . In 1949 , at the instigation of Jean-Pierre Serre and Pierre Samuel, he became a member of the Bourbaki group, in which he made significant contributions to the volume on Lie algebras . After the start of his retirement, Dixmier spent five years at the Institut des Hautes Études Scientifiques , he is emeritus at the University of Paris (Paris VI).

Dixmier mainly worked on operator algebras , especially C * algebras , and wrote some standard textbooks that are also available in English translation. One often finds the claim that the name Von Neumann Algebra for the operator algebras initiated by John von Neumann came from him , but according to his own statement, this naming goes back to a suggestion by Jean Dieudonné .

His students include Alain Connes , Nicole Berline and Michel Duflo .

In 1976 he received the Prix ​​Ampère of the French Academy of Sciences , in 1992 the Leroy P. Steele Prize of the American Mathematical Society , and in 2001 he was awarded the Émile Picard Medal of the Académie des Sciences . In 1978 he was invited speaker at the International Congress of Mathematicians in Helsinki ( Algèbres enveloppantes ) and in 1966 in Moscow ( Espace dual d'une algèbre, ou d'un groupe localement compact ).

See also

Works

  • Les algèbres d'opérateurs dans l'espace hilbertien: algèbres de von Neumann , Gauthier-Villars, 1957 ( ISBN 2-87647-012-8 )
  • Les C * -algèbres et leurs représentations , Gauthier-Villars, 1969 ( ISBN 2-87647-013-6 )
  • Algèbres enveloppantes , Gauthier-Villars, 1974 ( ISBN 2-87647-014-4 ), English at the AMS 1977

Web links

Individual evidence

  1. ↑ Jacques Dixmier in the Mathematics Genealogy Project (English)Template: MathGenealogyProject / Maintenance / id used Template: MathGenealogyProject / Maintenance / name used
  2. ↑ Newsletter of the EMS, June 2009, interview with Jacques Dixmier, page 38
  3. ↑ Newsletter of the EMS, June 2009, interview with Jacques Dixmier, page 36
personal data
SURNAME Dixmier, Jacques
BRIEF DESCRIPTION French mathematician
DATE OF BIRTH 1924
PLACE OF BIRTH Saint-Etienne