2008Studia MathematicaOpen access

The uniqueness of invariant measures for Markov operators

Tomasz Szarek

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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.

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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.

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Available 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.

Key concepts: Mathematics, Markov chain, Equicontinuity, Invariant (physics), Uniqueness, Invariant measure, Pure mathematics, Markov process

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