Quasi-compactness and Uniform Convergence of Markov Operator Nets on KB-spaces

DOI10.1007/978-3-319-27842-1_12zbMATH Open1411.47004OpenAlexW2522251521MaRDI QIDQ4645864

Nazife Erkurşun Özcan

Publication date: 11 January 2019

Published in: Trends in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-27842-1_12

zbMATH Keywords

quasi-compactnessKB-spaceuniform mean ergodicMarkov operator net

Mathematics Subject Classification ID

Ergodic theory of linear operators (47A35) Banach lattices (46B42) Groups and semigroups of linear operators (47D03) Positive linear operators and order-bounded operators (47B65) Linear spaces of operators (47L05)

Cites Work

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• One-parameter semigroups of positive operators
• Banach lattices
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• Chaos, fractals, and noise: Stochastic aspects of dynamics.
• Stability and ergodicity of dominated semigroups. II: The strong case
• Asymptotically absorbing nets of positive operators
• On quasi-compact Markov nets
• Asymptotic periodicity of the iterates of positive contractions on Banach lattices
• Mean lower bounds for Markov operators
• Attractors and asymptotic periodicity of positive operators on Banach lattices
• On quasi-compactness of operator nets on Banach spaces

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Uniform ergodicities of Markov semigroups on abstract states spaces

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