Document Zbl 0627.47003

**On Markov operators satisfying conditions (A) and \((A^ *)\) in ordered normed spaces with base.** (Russian) Zbl 0627.47003

Dokl. Akad. Nauk UzSSR 1986, No. 11, 8-10 (1986).

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

Keywords:

ordered vector space; Hermitian part of a \(W^ *\)-algebra; mean ergodic

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On Markov operators satisfying conditions (A) and \((A^ *)\) in ordered normed spaces with base. (Russian) Zbl 0627.47003

MSC:

Keywords:

**On Markov operators satisfying conditions (A) and \((A^ *)\) in ordered normed spaces with base.** (Russian) Zbl 0627.47003