The e-property of asymptotically stable Markov–Feller operators

Author: Kukulski R.; Wojewódka-Ściążko H.
Journal: Colloquium Mathematicum
Year of Publication: 2021
Status: Published
Date Published: 01/2021
DOI: 10.4064/cm8165-6-2020
Start Page: 269-283
URL: https://arxiv.org/abs/2001.05785
Volume: 165
Abstract: 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.