Fourier series criteria for operator decomposability

DOI10.1007/BF01202516zbMath0607.47026MaRDI QIDQ1085415

Earl Berkson, T. Alastair Gillespie

Publication date: 1986

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

zbMATH Keywords

Cesàro meansFourier-Stieltjes transformdiscrete Hilbert transformspectral familytrigonometrically well-bounded

Mathematics Subject Classification ID

Spectral operators, decomposable operators, well-bounded operators, etc. (47B40)

Related Items (2)

Generalized analyticity in UMD spaces ⋮ Operator ergodic theory for one-parameter decomposable groups

Cites Work

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• Some remarks on Banach spaces in which martingale difference sequences are unconditional
• Stečkin's theorem, transference, and spectral decompositions
• Abstract Spectral Decompositions Guaranteed by the Hilbert Transform
• Spectral Families of Projections, Semigroups, and Differential Operators
• On the Theory of Trigonometric Series (II)

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