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
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
