Mean\(_2\)-bounded operators on Hilbert space and weight sequences of positive operators

DOI10.1023/A:1009794510984zbMath0946.47020OpenAlexW60062045MaRDI QIDQ1303817

Earl Berkson, T. Alastair Gillespie

Publication date: 11 January 2000

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1009794510984

zbMATH Keywords

uniform boundednesstrigonometrically well-bounded operators\(\text{mean}_2\)-bounded operatorsAC functionsinvertible self-adjoint operatorsoperator-valued weight sequencequadratic averages

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) Multipliers in one variable harmonic analysis (42A45) Spectral operators, decomposable operators, well-bounded operators, etc. (47B40)

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Similarity problems, Følner sets and isometric representations of amenable semigroups

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