Asymptotic behavior of Lotz-Räbiger and martingale nets

DOI10.1007/s11202-010-0081-9zbMath1225.47040OpenAlexW2167547968MaRDI QIDQ610292

Eduard Yu. Emel'yanov

Publication date: 8 December 2010

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11202-010-0081-9

zbMATH Keywords

constrictorLotz-Räbiger net (\(LR\)-net)martingale net (\(M\)-net)operator nets

Mathematics Subject Classification ID

Ergodic theory of linear operators (47A35) Groups and semigroups of linear operators (47D03) Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.) (54A20)

Related Items (6)

Asymptotic behavior of operator sequences on KB-spaces ⋮ Uniform ergodicity of Lotz-Räbiger nets of Markov operators on abstract state spaces ⋮ Quasi-compactness and Uniform Convergence of Markov Operator Nets on KB-spaces ⋮ Lotz-Räbiger's nets of Markov operators in \(L^1\)-spaces ⋮ Unbounded growth of sequences in vector lattices ⋮ Unbounded asymptotic equivalences of operator nets with applications

Cites Work

• Unnamed Item
• Unnamed Item
• Ergodic theorems. With a supplement by Antoine Brunel
• Stability and ergodicity of dominated semigroups. II: The strong case
• Positive operators on Banach spaces ordered by strongly normal cones
• Stability and almost periodicity of asymptotically dominated semigroups of positive operators
• Asymptotic Periodicity of the Iterates of Markov Operators
• Domination and Ergodicity for Positive Semigroups
• A Mean Ergodic Theorem
• Abstract Ergodic Theorems and Weak Almost Periodic Functions

This page was built for publication: Asymptotic behavior of Lotz-Räbiger and martingale nets