Ergodic theorems for weight-preserving transformations. (Russian) Zbl 0631.46062
The statistical and individual ergodic theorems are considered for a substochastic operator \(\alpha\) on a von Neumann algebra M with \(\phi\cdot \alpha \leq \phi\), where \(\phi\) is a given weight on M.
MSC:
46L51 | Noncommutative measure and integration |
46L53 | Noncommutative probability and statistics |
46L54 | Free probability and free operator algebras |
47A35 | Ergodic theory of linear operators |