The validity space of Dunford-Schwartz pointwise ergodic theorem

DOI10.1016/J.JMAA.2018.01.001zbMath1386.37006arXiv1705.02947OpenAlexW2963238574MaRDI QIDQ1706355

Semyon Litvinov, Vladimir I. Chilin

Publication date: 22 March 2018

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.02947

zbMATH Keywords

infinite measureDunford-Schwartz operatorpointwise ergodic theorem

Mathematics Subject Classification ID

Ergodic theorems, spectral theory, Markov operators (37A30) Nonsingular (and infinite-measure preserving) transformations (37A40)

Related Items (5)

Counter-examples to the Dunford-Schwartz pointwise ergodic theorem on \(L^1+L^\infty\) ⋮ On individual ergodic theorems for semifinite von Neumann algebras ⋮ Ergodic theorems in Banach ideals of compact operators ⋮ Isometries of spaces of log-integrable functions ⋮ Individual ergodic theorems for infinite measure

Cites Work

• Dominated operators. IV
• Stopping Times and Directed Processes
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