Proceedings of the Japan Academy, Series A, Mathematical Sciences

On mean ergodic semigroups of random linear operators

Xia Zhang

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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.

Article information

Proc. Japan Acad. Ser. A Math. Sci. Volume 88, Number 4 (2012), 53-58.

First available in Project Euclid: 5 April 2012

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 46H25: Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX)
Secondary: 46A25: Reflexivity and semi-reflexivity [See also 46B10] 47A35: Ergodic theory [See also 28Dxx, 37Axx]

Random normed module ergodic semigroup of random linear operators random reflexivity


Zhang, Xia. On mean ergodic semigroups of random linear operators. Proc. Japan Acad. Ser. A Math. Sci. 88 (2012), no. 4, 53--58. doi:10.3792/pjaa.88.53.

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