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.
BT - Colloquium Mathematicum DA - 01/2021 DO - 10.4064/cm8165-6-2020 LA - eng N2 -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.
PY - 2021 SE - 269-283 T2 - Colloquium Mathematicum TI - The e-property of asymptotically stable Markov–Feller operators UR - https://arxiv.org/abs/2001.05785 VL - 165 ER -