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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.
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 -