The uniqueness of invariant measures for Markov operators

Tomasz Szarek

Studia Mathematica (2008)

  • Volume: 189, Issue: 3, page 225-233
  • ISSN: 0039-3223

Abstract

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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.

How to cite

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Tomasz Szarek. "The uniqueness of invariant measures for Markov operators." Studia Mathematica 189.3 (2008): 225-233. <http://eudml.org/doc/285250>.

@article{TomaszSzarek2008,
abstract = {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.},
author = {Tomasz Szarek},
journal = {Studia Mathematica},
keywords = {Markov operator; invariant measure; dense trajectory},
language = {eng},
number = {3},
pages = {225-233},
title = {The uniqueness of invariant measures for Markov operators},
url = {http://eudml.org/doc/285250},
volume = {189},
year = {2008},
}

TY - JOUR
AU - Tomasz Szarek
TI - The uniqueness of invariant measures for Markov operators
JO - Studia Mathematica
PY - 2008
VL - 189
IS - 3
SP - 225
EP - 233
AB - 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.
LA - eng
KW - Markov operator; invariant measure; dense trajectory
UR - http://eudml.org/doc/285250
ER -

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