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2008 Almost periodicity of stochastic operators on $\ell^1(\mathbb{N})$
Vera Keicher
Author Affiliations +
Tbilisi Math. J. 1: 105-131 (2008). DOI: 10.32513/tbilisi/1528768826

Abstract

We characterize from a functional analytic point of view almost periodicity of operators on $\ell^1$ given by infinite column-stochastic matrices. Some of the equivalent properties occur, under the name of Foster's condition, in the theory of stochastic processes. The results are applied to flows in infinite networks.

Acknowledgment

The author thanks Britta Dorn, Tanja Eisner and Rainer Nagel for many helpful discussions on the subject, the latter also for many improvements of the final version. Further thanks go to Martin Zerner for refering us to Foster's condition.

Citation

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Vera Keicher. "Almost periodicity of stochastic operators on $\ell^1(\mathbb{N})$." Tbilisi Math. J. 1 105 - 131, 2008. https://doi.org/10.32513/tbilisi/1528768826

Information

Received: 29 May 2008; Revised: 21 August 2008; Accepted: 25 October 2008; Published: 2008
First available in Project Euclid: 12 June 2018

zbMATH: 1181.47041
MathSciNet: MR2563809
Digital Object Identifier: 10.32513/tbilisi/1528768826

Subjects:
Primary: 47B65
Secondary: 47D07, 60J10

Rights: Copyright © 2008 Tbilisi Centre for Mathematical Sciences

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