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∗.

Xehetasun bibliografikoak
Egile nagusia: Mukhamedov, Farrukh
Formatua: Artikulua
Hizkuntza:English
Argitaratua: Elsevier 2013
Gaiak:
Sarrera elektronikoa:http://irep.iium.edu.my/31766/1/mf-JMAA%282013%29.pdf