-
standard reference books on them, and
introduced the
Dixmier trace and the
Dixmier mapping.
Dixmier received his Ph.D. in 1949 from the
University of Paris...
- In
algebra the
Dixmier conjecture,
asked by
Jacques Dixmier in 1968, is the
conjecture that any
endomorphism of a Weyl
algebra is an automorphism. Tsuchimoto...
- In mathematics, the
Dixmier trace,
introduced by
Jacques Dixmier (1966), is a non-normal[clarification needed]
trace on a
space of
linear operators on...
-
counterexamples of
total degree 35 and higher. It is well
known that the
Dixmier conjecture implies the
Jacobian conjecture. Conversely, it is
shown by...
- In mathematics, the
Dixmier mapping describes the
space Prim(U(g)) of
primitive ideals of the
universal enveloping algebra U(g) of a finite-dimensional...
-
ideal in C(X) so is in fact primitive. For
details of the proof, see the
Dixmier reference. For a
commutative C*-algebra, A ^ ≅ Prim ( A ) . {\displaystyle...
- Self-adjoint
matrix Self-adjoint
operator Dixmier 1977, p. 4.
Dixmier 1977, p. 3.
Palmer 2001, p. 800.
Dixmier 1977, pp. 3–4.
Kadison &
Ringrose 1983, p...
-
geometry § History
Dixmier mapping A
primitive ideal tends to be more of
interest than a
prime ideal in non-commutative ring theory.
Dixmier,
Jacques (1996)...
- In
functional analysis, the
Dixmier–Ng
theorem is a
characterization of when a
normed space is in fact a dual
Banach space. It was
proven by Kung-fu Ng...
-
unitarizability of
uniformly bounded representations was
extended in 1950 by
Dixmier, Day and Nakamura-Takeda to all
locally compact amenable groups, following...
