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Constrictive Markov operators induced by Markov processes

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Abstract

Consider a constrictive Markov operator \(T:L^1(X, \Sigma , \mu ) \rightarrow L^1(X, \Sigma , \mu )\) defined on a finite measure space \((X, \Sigma , \mu )\). We give a necessary and sufficient condition for a constrictive Markov operator T which is an integral operator with stochastic kernel satisfying \(T\mathbf {1}_X=\mathbf {1}_X\).

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  1. Meteorological College, 7-4-81 Asashimachi, Kashiwa, Chiba, 277-0852, Japan

    Yukiko Iwata

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  1. Yukiko Iwata
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Correspondence to Yukiko Iwata.

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Iwata, Y. Constrictive Markov operators induced by Markov processes. Positivity 20, 355–367 (2016). https://doi.org/10.1007/s11117-015-0360-6

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  • DOI: https://doi.org/10.1007/s11117-015-0360-6

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