Regularity Conditions for Markov Semigroups on Abstract $L^1$-Spaces

È. Yu. Emel'yanov

Matematičeskie trudy, Tome 7 (2004) no. 1, pp. 50-82.

Résumé

We study various conditions that ensure mean ergodicity, weak and strong almost periodicity, stochastic stability, and some other kinds of asymptotic regularity for one-parameter Markov semigroups on abstract $L^1$-spaces.

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