Individual ergodic theorems for infinite measure

DOI10.4064/cm8271-2-2021OpenAlexW3167020943WikidataQ113692281 ScholiaQ113692281MaRDI QIDQ5029001

Semyon Litvinov, Doğan Çömez, Vladimir I. Chilin

Publication date: 11 February 2022

Published in: Colloquium Mathematicum (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.04678

zbMATH Keywords

infinite measurereturn times theorembounded Besicovitch sequenceDunford-Schwartz pointwise ergodic theoremfully symmetric space

Mathematics Subject Classification ID

Ergodic theory of linear operators (47A35) Ergodic theorems, spectral theory, Markov operators (37A30)

Related Items (1)

Statistical ergodic theorem in symmetric spaces for infinite measures

Cites Work

• Singular traces. Theory and applications
• On modulated ergodic theorems for Dunford-Schwartz operators
• The return time theorem fails on infinite measure-preserving systems
• The validity space of Dunford-Schwartz pointwise ergodic theorem
• Counter-examples to the Dunford-Schwartz pointwise ergodic theorem on \(L^1+L^\infty\)
• Almost uniform and strong convergences in ergodic theorems for symmetric spaces
• Symmetric norms and spaces of operators
• Subadditive mean ergodic theorems
• Weighted ergodic theorems for mean ergodic 𝐿₁-contractions
• Stopping Times and Directed Processes
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