The Dobrushin ergodicity coefficient and the ergodicity of noncommutative Markov chains

In this paper, we study the notion of the Dobrushin ergodicity coefficient for positive contractions defined on the predual M∗ of von Neumann algebra M. Moreover, in terms of this coefficient, we prove ergodic-type theorems for nonhomogeneous Markov chains on M∗.

Bibliographic Details
Main Author: Mukhamedov, Farrukh
Format: Article
Language:English
Published: Elsevier 2013
Subjects:
Online Access:http://irep.iium.edu.my/31766/
http://irep.iium.edu.my/31766/
http://irep.iium.edu.my/31766/
http://irep.iium.edu.my/31766/1/mf-JMAA%282013%29.pdf