Abstract
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*.
| Original language | English |
|---|---|
| Pages (from-to) | 364-373 |
| Number of pages | 10 |
| Journal | Journal of Mathematical Analysis and Applications |
| Volume | 408 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - Dec 1 2013 |
| Externally published | Yes |
Keywords
- Coefficient of ergodicity
- Nonhomogeneous Markov chain
- Von Neumann algebra
- Weak ergodicity
ASJC Scopus subject areas
- Analysis
- Applied Mathematics
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