Convolution in dual Cesàro sequence spaces

DOI10.1016/j.jmaa.2022.126838OpenAlexW4323542473MaRDI QIDQ2102123

Guillermo P. Curbera, Werner J. Ricker

Publication date: 28 November 2022

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2022.126838

zbMATH Keywords

Banach algebraconvolutionspectrummultiplierdual Cesàro sequence space

Mathematics Subject Classification ID

Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Banach sequence spaces (46B45)

Cites Work

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• Interpolation of abstract Cesàro, Copson and Tandori spaces
• Solid extensions of the Cesàro operator on \(\ell^p\) and \(c_0\)
• Interpolation of linear operators in spaces of measurable functions
• The Banach algebra \(A^*\) and its properties
• The blocking technique, weighted mean operators and Hardy's inequality
• Convolution operators in discrete Cesàro spaces
• Fine spectra and compactness of generalized Cesàro operators in Banach lattices in \(\mathbb{C}^{\mathbb{N}_0}\)
• Operators acting in the dual spaces of discrete Cesàro spaces
• Wiener-Beurling spaces and their properties
• Spaces and algebras of Toeplitz matrices operating in \(l^ p\)
• On the spectral synthesis of bounded functions
• Factorizing the classical inequalities
• Function Theory and ℓ^{𝑝} Spaces
• Intermediate spaces and interpolation, the complex method

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