The Cesàro operator and unconditional Taylor series in Hardy spaces

DOI10.1007/s00020-015-2230-9zbMath1331.30045OpenAlexW2129448926MaRDI QIDQ887184

Guillermo P. Curbera, Werner J. Ricker

Publication date: 28 October 2015

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

Full work available at URL: https://doi.org/10.1007/s00020-015-2230-9

zbMATH Keywords

Hardy spaceTaylor seriesCesàro operatorunconditional convergencemajorant property

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Banach sequence spaces (46B45) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16) Hardy spaces (30H10)

Related Items

On the compactness and spectra of the generalized difference operator on the spaces ℓ^∞ and bv ⋮ Mean ergodicity and spectrum of the Cesàro operator on weighted \(c_0\) spaces ⋮ Fine spectra of the discrete generalized Cesàro operator on Banach sequence spaces ⋮ Multiplier and averaging operators in the Banach spaces \(ces(p), \, 1< p < \infty\) ⋮ Spectral properties of generalized Cesàro operators in sequence spaces ⋮ Operators acting in the dual spaces of discrete Cesàro spaces ⋮ Fine spectra and compactness of generalized Cesàro operators in Banach lattices in \(\mathbb{C}^{\mathbb{N}_0}\) ⋮ On q−Cesàro Operators: Boundedness, Compactness and Spectra

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