On stability properties of positive contractions of $L^1$-spaces associated with finite von Neumann algebras
Volume 105 / 2006
Colloquium Mathematicum 105 (2006), 259-269
MSC: 47A35, 28D05, 37A30.
DOI: 10.4064/cm105-2-7
Abstract
We extend the notion of Dobrushin coefficient of ergodicity to positive contractions defined on the $L^1$-space associated with a finite von Neumann algebra, and in terms of this coefficient we prove stability results for $L^1$-contractions.
