The uniqueness of invariant measures for Markov operators

• Autorzy: Tomasz Szarek
• Języki publikacji: EN

Abstrakty

EN

It is shown that Markov operators with equicontinuous dual operators which overlap supports have at most one invariant measure. In this way we extend the well known result proved for Markov operators with the strong Feller property by R. Z. Khas'minski.

Kategorie tematyczne

• 37A30: Ergodic theorems, spectral theory, Markov operators
• 60J05: Discrete-time Markov processes on general state spaces

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2008
• Tom: 189
• Numer: 3
• Strony: 225-233

Daty

wydano

2008

Twórcy

autor

Tomasz Szarek

• Institute of Mathematics, Silesian University, Bankowa 14, 40-007 Katowice, Poland

Identyfikatory

DOI

10.4064/sm189-3-2