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∗.
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| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2013
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| 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 |
| Summary: | 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∗. |
|---|