The e-property of asymptotically stable Markov–Feller operators
Volume 165 / 2021
Colloquium Mathematicum 165 (2021), 269-283 MSC: Primary 37A30; Secondary 60J05. DOI: 10.4064/cm8165-6-2020 Published online: 19 January 2021
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.