Open Access
April 2012 On mean ergodic semigroups of random linear operators
Xia Zhang
Proc. Japan Acad. Ser. A Math. Sci. 88(4): 53-58 (April 2012). DOI: 10.3792/pjaa.88.53

Abstract

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.

Citation

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Xia Zhang. "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

Information

Published: April 2012
First available in Project Euclid: 5 April 2012

zbMATH: 1250.47007
MathSciNet: MR2912842
Digital Object Identifier: 10.3792/pjaa.88.53

Subjects:
Primary: 46H25
Secondary: 46A25 , 47A35

Keywords: ergodic semigroup of random linear operators , Random normed module , random reflexivity

Rights: Copyright © 2012 The Japan Academy

Vol.88 • No. 4 • April 2012
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