On Markov operators satisfying conditions (A) and \((A^ *)\) in ordered normed spaces with base. (Russian) Zbl 0627.47003
The author gives a sufficient condition that an operator T acting in an ordered vector space or in the Hermitian part of a \(W^*\)-algebra is mean ergodic (in a certain sense).
Reviewer: K.-H.Förster
MSC:
47A35 | Ergodic theory of linear operators |
47B38 | Linear operators on function spaces (general) |
47B60 | Linear operators on ordered spaces |
46L51 | Noncommutative measure and integration |
46L53 | Noncommutative probability and statistics |
46L54 | Free probability and free operator algebras |