Jacques Dixmier (born 24 May 1924 in Saint-Étienne, France) is a French mathematician who worked on C*-algebras and other operator algebras. He entered the École Normale Supérieure in Paris in October 1942, where his main teachers were Henri Cartan and Gaston Julia. He worked on his thesis in 1945 and 1946 with Julia as adviser, studying a special class of non-closed subspaces of Hilbert space, and the thesis was published in 1949. He then took a position in Toulouse and over his career supervised twenty doctoral students. His name is attached to the Dixmier conjecture, which he stated in 1968 and which asks whether every endomorphism of the first Weyl algebra over a field of characteristic zero is an automorphism.
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Conjectures Posed
Source Dixmier Conjecture (Wikipedia)
In Branch
Source Jacques Dixmier (MacTutor biography)
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Source Jacques Dixmier (MacTutor biography)SummaryQuote, Summary
Jacques Dixmier is a French mathematician
Sources
1. Jacques Dixmier (MacTutor biography)
Biography
His main teachers were Henri Cartan and Gaston Julia.
In Branch: Operator Theory, Summary
Jacques Dixmier is a French mathematician who worked on C*-algebras and other operator algebras.
View the SourceDixmier Conjecture (Wikipedia)
Wikimedia FoundationConjectures Posed: Dixmier Conjecture, LeadQuote, Conjectures Posed: Dixmier Conjecture, Lead
the Dixmier conjecture, stated by Jacques Dixmier in 1968
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