In this paper, we prove a mean ergodic theorem for an almost surely bounded strongly continuous semigroup of random linear operators on a random reflexive random normed module, which generalizes and improves several known important results.
"On mean ergodic semigroups of random linear operators." Proc. Japan Acad. Ser. A Math. Sci. 88 (4) 53 - 58, April 2012. https://doi.org/10.3792/pjaa.88.53