Journals / Turkish Journal of Mathematics / 2005 / Cilt: 29 - Sayı: 3

A Property of Weak Convergence of Positive Contractions of Von Neumann Algebras

Pages
315–321
DOI
—

Abstract

In the present paper we prove that the mixing property of positive L1-contraction of finite von Neumann algebras implies the property of complete mixing.

Özet

In the present paper we prove that the mixing property of positive L1-contraction of finite von Neumann algebras implies the property of complete mixing.

Keywords: Positive contraction, mixing, completely mixing, von Neumann algebra