The e-property of asymptotically stable Markov-Feller operators

Ryszard Kukulski, Hanna Wojewódka-Ściążko

Published 2020-01-16Version 1

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.