Explore: Algèbre Von Neumann

In mathematics, a von Neumann algebra or W*-algebra is a *-algebra of bounded operators on a Hilbert space that is closed in the weak operator topology

functional analysis, a branch of mathematics, an abelian von Neumann algebra is a von Neumann algebra of operators on a Hilbert space in which all elements

mathematically developed form with Pascual Jordan around 1933. Subsequently, John von Neumann attempted to establish a general framework for these algebras, which

the talk Espace dual d'une algèbre, ou d'un groupe localement compact and again in 1978 in Helsinki with the talk Algèbres enveloppantes. J. Dixmier,

between localizable measure spaces and commutative von Neumann algebras, noncommutative von Neumann algebras are called non-commutative measure spaces

mathematics, affiliated operators were introduced by Murray and von Neumann in the theory of von Neumann algebras as a technique for using unbounded operators to

endomorphism ring of a semisimple module is not only semiprimitive, but also von Neumann regular. A ring is said to be (left-)semisimple if it is semisimple as

specific von Neumann algebra acting on a Hilbert space in the presence of a trace. The first such result was proved by Francis Joseph Murray and John von Neumann

d'opérateurs dans l'espace hilbertien: algèbres de von Neumann, Gauthier-Villars, the first book about von Neumann algebras.) Effros, E. G.; Størmer, E

C*-algebra A is a factor representation if and only if the center of the von Neumann algebra generated by π(A) is one-dimensional. A C*-algebra A is of type