The e-property of asymptotically stable Markov-Feller operators

TitleThe e-property of asymptotically stable Markov-Feller operators
Publication TypeReport
Year of Publication2020
AuthorsKukulski R, Wojewódka-Ściążko H
Series Titlepreprint, arXiv:2001.05785
Abstract

In this work, we prove that any asymptotically stable Markov-Feller operator possesses the e-property everywhere outside at most a meagre set. We also provide an example showing that this result is tight. Moreover, an equivalent criterion for the e-property is proposed.

URLhttps://arxiv.org/abs/2001.05785

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