Open Access Research

On conditional mean ergodic semigroups of random linear operators

Xia Zhang

Author Affiliations

Department of Mathematics, School of Science, Tianjin Polytechnic University, Tianjin, 300160, People’s Republic of China

Journal of Inequalities and Applications 2012, 2012:150 doi:10.1186/1029-242X-2012-150

Published: 3 July 2012

Abstract

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.