A Tauberian theorem for ergodic averages, spectral decomposability, and the dominated ergodic estimate for positive invertible operators

DOI10.1023/A:1026257314501zbMath1055.47013OpenAlexW2122057587MaRDI QIDQ1417872

Earl Berkson, T. Alastair Gillespie

Publication date: 6 January 2004

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1026257314501

zbMATH Keywords

maximal operatorergodic averagespositive operatortrigonometrically well-bounded operator\((C\(A_p\) weight condition2)\) summability

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Maximal functions, Littlewood-Paley theory (42B25) Ergodic theory of linear operators (47A35) Cesàro, Euler, Nörlund and Hausdorff methods (40G05) Measurable and nonmeasurable functions, sequences of measurable functions, modes of convergence (28A20) Spectral operators, decomposable operators, well-bounded operators, etc. (47B40)

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