On stability properties of positive contractions of $L^1$-spaces accosiated with finite von Neumann algebras

Abstract

In the paper we extent the notion of Dobrushin coefficient of ergodicity for positive contractions defined on $L^1$-space associated with finite von Neumann algebra, and in terms of this coefficient we prove stability results for $L^1$-contractions.

11 pages. to appear Colloq. Math