Spectral properties of Cesàro-like operators on weighted Bergman spaces

DOI10.1016/J.JMAA.2012.05.012zbMath1267.47047OpenAlexW2041730029MaRDI QIDQ442488

S. Ballamoole, Thomas Len Miller, Vivien G. Miller

Publication date: 1 August 2012

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.2012.05.012

zbMATH Keywords

integral operatorspectral propertiesdecomposable operatorsCesàro operatorweighted Bergman spaceoperator semigroupsBishop's property \((\beta )\)generalized scalar operatorsproperty \((\beta )_{\varepsilon}\)

Mathematics Subject Classification ID

Groups and semigroups of linear operators (47D03) Linear operators on function spaces (general) (47B38) Local spectral properties of linear operators (47A11)

Related Items (3)

Spectral properties of two classes of averaging operators on the little Bloch space and the analytic Besov spaces ⋮ Cesàro-like operators on the Hardy and Bergman spaces of the half plane ⋮ A class of integral operators on spaces of analytic functions

Cites Work

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• Asymptotic intertwining and spectral inclusions on Banach spaces
• Analytical Functional Models and Local Spectral Theory
• A Paley-Wiener theorem for Bergman spaces with application to invariant subspaces
• The Cesaro Operator in ℓ 2 is Subnormal

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