Invariant densities and mean ergodicity of Markov operators

Date

2003-01-01

Author

Emelyanov, Eduard

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We prove that a, Markov operator T on L-1 has an invariant density if and only if there exists a density f that satisfies lim sup(n-->infinity) parallel toT(n) f-fparallel to infinity) parallel toP(n)f - wparallel to < 2 for every density f. Corresponding results hold for strongly continuous semigroups.

URI

https://hdl.handle.net/11511/94687

Journal

ISRAEL JOURNAL OF MATHEMATICS

DOI

https://doi.org/10.1007/bf02807206

Collections

Department of Mathematics, Article

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Citation Formats

E. Emelyanov, “Invariant densities and mean ergodicity of Markov operators,” ISRAEL JOURNAL OF MATHEMATICS, vol. 136, pp. 373–379, 2003, Accessed: 00, 2021. [Online]. Available: https://hdl.handle.net/11511/94687.