The return times and the Wiener—Wintner property for mean-bounded positive operators in Lp

DOI10.1017/S0143385700006544zbMath0761.28009MaRDI QIDQ4024943

Idris Assani

Publication date: 18 February 1993

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

zbMATH Keywords

dynamical systemsergodic theoremaveragesreturn times propertyWiener-Wintner propertymean bounded positive operators

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Ergodic theory of linear operators (47A35) One-parameter continuous families of measure-preserving transformations (28D10)

Related Items (2)

Modulated \((C,\alpha)\)-ergodic theorems with non-integral orders for Dunford-Schwartz operators ⋮ Weighted ergodic theorems for mean ergodic 𝐿₁-contractions

Cites Work

• Mean-bounded operators and mean ergodic theorems
• Alternating Procedures in Uniformly Smooth Banach Spaces
• The Weighted Pointwise Ergodic Theorem and the Individual Ergodic Theorem Along Subsequences
• Weighted and Subsequential Ergodic Theorems
• The Dominated Ergodic Estimate for Mean Bounded, Invertible, Positive Operators
• Harmonic Analysis and Ergodic Theory

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