Spectral theory and operator ergodic theory on super-reflexive Banach spaces

DOI10.4064/SM200-3-2zbMath1206.26015OpenAlexW2040804312MaRDI QIDQ3066336

Earl Berkson

Publication date: 10 January 2011

Published in: Studia Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/sm200-3-2

zbMATH Keywords

spectral decomposition\(p\)-variationergodic Hilbert transformsuper-reflexive Banach spacetrigonometrically well-bounded operatorTauberian type theoremJames inequalitiesYoung-Stieltjes integration

Mathematics Subject Classification ID

Ergodic theory of linear operators (47A35) Geometry and structure of normed linear spaces (46B20) Spectral operators, decomposable operators, well-bounded operators, etc. (47B40) Functions of bounded variation, generalizations (26A45)

Related Items (4)

\(A_{p}\) weights and strong convergence of operator-valued Fourier series for Stieltjes convolutions of Marcinkiewicz functions ⋮ Marcinkiewicz \(r\)-classes and Fourier series expansions of operator ergodic Stieltjes convolutions ⋮ Strong convergence in the weighted setting of operator-valued Fourier series defined by the Marcinkiewicz multipliers ⋮ Operator ergodic theory for one-parameter decomposable groups

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