The e-property of asymptotically stable Markov–Feller operators

Author Kukulski R.; Wojewódka-Ściążko H.
Title The e-property of asymptotically stable Markov–Feller operators
Journal Colloquium Mathematicum
Year 2021
Status Published
Volume 165
DOI 10.4064/cm8165-6-2020
URL https://arxiv.org/abs/2001.05785
Abstract <p>We prove that any asymptotically stable Markov–Feller operator has the e-property everywhere outside a meagre set. We also provide an example showing that this result is tight. Moreover, an equivalent criterion for the e-property is proposed.</p>