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.


47Dxx Groups and semigroups of linear operators, their generalizations and applications
47A35 Ergodic theory of linear operators
Full Text: DOI


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