Convolution operators in discrete Cesàro spaces

DOI10.1007/s00013-018-1266-xzbMath1437.42009OpenAlexW2898476581MaRDI QIDQ1710703

Werner J. Ricker

Publication date: 23 January 2019

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-018-1266-x

zbMATH Keywords

Banach algebraspectrumconvolution operatormean ergodicitydiscrete Cesàro space

Mathematics Subject Classification ID

Ergodic theory of linear operators (47A35) Homomorphisms and multipliers of function spaces on groups, semigroups, etc. (43A22) Spectrum, resolvent (47A10) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Convolution, factorization for one variable harmonic analysis (42A85) Linear operators in algebras (47C05)

Related Items

The order spectrum of convolution operators in discrete Cesàro spaces ⋮ Operators acting in the dual spaces of discrete Cesàro spaces ⋮ Wiener-Beurling spaces and their properties ⋮ Convolution operators in the Fréchet sequence space \(\omega = \mathbb{C}^{\mathbb{N}}\) ⋮ Convolution in dual Cesàro sequence spaces

Cites Work

• Solid extensions of the Cesàro operator on \(\ell^p\) and \(c_0\)
• Linear chaos
• Spaces and algebras of Toeplitz matrices operating in \(l^ p\)
• Some properties of N-supercyclic operators
• Factorizing the classical inequalities
• On multipliers preserving convergence of trigonometric series almost everywhere
• Means of iterated transformations in reflexive vector spaces
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