00627nas a2200145   4500000000100000000000100001008004100002260001200043100002100055700003200076245007000108856003700178490000800215520025800223       2021                            d  c01/20211 aRyszard Kukulski1 aHanna Wojewódka-Ściążko00aThe e-property of asymptotically stable Markov–Feller operators  uhttps://arxiv.org/abs/2001.057850 v1653 a<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>