Weak Convergence of Semigroups Implies Strong Convergence of Weighted Averages

DOI10.2307/2041595zbMath0345.47029OpenAlexW4256250107MaRDI QIDQ4114381

Humphrey Fong

Publication date: 1976

Full work available at URL: https://doi.org/10.2307/2041595

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Ergodic theory of linear operators (47A35) Groups and semigroups of linear operators (47D03)

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Nonlinear evolution equations and nonlinear ergodic theorems ⋮ Sur le théorème en moyenne d'Akcoglu-Sucheston

Cites Work

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• On operator convergence in Hilbert space and in Lebesgue space
• On the mean ergodic theorem for subsequences
• On weak and strong convergence of positive contractions in 𝐿_{𝑝} spaces
• On the mean ergodic theorem for weighted averages
• Mixing for Markov operators
• Shorter Notes: A Note on the Blum-Hanson Theorem
• On a mixing property of operators in Lp spaces