On power-subadditive positive operators on the $L_p$ spaces $(1<p<\infty )$

DOI10.1090/PROC/13124OpenAlexW2608954850MaRDI QIDQ5351790

Jean-Claude Lootgieter

Publication date: 30 August 2017

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/proc/13124

zbMATH Keywords

pointwise ergodic theoremdominated ergodic estimatepositive linear operator with subadditive powers

Mathematics Subject Classification ID

Ergodic theory of linear operators (47A35)

Related Items (2)

New estimates on the Brunel operator ⋮ Dominated and pointwise ergodic theorems with ``weighted averages for bounded Lamperti representations of amenable groups

Cites Work

• Mean-bounded operators and mean ergodic theorems
• Ergodic theorems. With a supplement by Antoine Brunel
• Ergodic theorem for positive operators on \(L_p\)-spaces \((1<p<\infty)\) revisited
• Strong \(q\)-variation inequalities for analytic semigroups
• The functional calculus for sectorial operators
• On invariant measures and ergodic theorems for positive operators
• Subordinated discrete semigroups of operators
• Théorème ergodique pour les opérateurs positifs à moyennes bornées sur les espaces L_p(1 < p < ∞)
• A Pointwise Ergodic Theorem in L_p-Spaces
• A Simple Proof of the Maximal Ergodic Theorem
• Ergodic Properties of Lamperti Operators
• The Dominated Ergodic Estimate for Mean Bounded, Invertible, Positive Operators
• Ergodic properties of isometries in $L^p$ spaces $1 < p < \infty$

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