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On conditional mean ergodic semigroups of random linear operators. (English) Zbl 06224203

Summary: In this article, we prove two forms of conditional mean ergodic theorem for a strongly continuous semigroup of random isometric linear operators generated by a semigroup of measure-preserving measurable isomorphisms, one of which generalizes and improves several known important results.

MSC:

47Dxx Groups and semigroups of linear operators, their generalizations and applications
47A35 Ergodic theory of linear operators
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