von Neumann algebra

(redirected from Von Neuman algebra)

von Neumann algebra

[fȯn ¦nȯi·män ′al·jə·brə]
(mathematics)
A subalgebra A of the algebra B (H) of bounded linear operators on a complex Hilbert space, such that the adjoint operator of any operator in A is also in A, and A is closed in the strong operator topology in B (H). Also known as ring of operators; W* algebra.
References in periodicals archive ?
He has remarkable contribution in the theory of Von Neuman Algebras, Ergodic theory, he gave an answer to a conjecture known as Stone-Weierstrass'.