The e-property of asymptotically stable Markov-Feller operators

TytułThe e-property of asymptotically stable Markov-Feller operators
Publication TypeJournal Article
Rok publikacji2020
AutorzyKukulski R, Wojewódka-Ściążko H
Journalpreprint, 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