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The e-property of asymptotically stable Markov–Feller operators

Volume 165 / 2021

Ryszard Kukulski, Hanna Wojewódka-Ściążko Colloquium Mathematicum 165 (2021), 269-283 MSC: Primary 37A30; Secondary 60J05. DOI: 10.4064/cm8165-6-2020 Published online: 19 January 2021

Abstract

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.

Authors

  • Ryszard KukulskiInstitute of Theoretical and Applied Informatics
    Polish Academy of Sciences
    Bałtycka 5, 44-100 Gliwice, Poland
    e-mail
  • Hanna Wojewódka-ŚciążkoInstitute of Theoretical
    and Applied Informatics
    Polish Academy of Sciences
    Bałtycka 5, 44-100 Gliwice, Poland
    and
    Institute of Mathematics
    University of Silesia in Katowice
    Bankowa 14, 40-007 Katowice, Poland
    e-mail
    e-mail

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