The e-property of asymptotically stable Markov–Feller operators
The e-property of asymptotically stable Markov–Feller operators
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.