Spectral radius algebras, Deddens algebras, and weighted shifts

DOI10.1112/blms/bdq118zbMath1237.47021OpenAlexW2081834321MaRDI QIDQ3006366

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Publication date: 10 June 2011

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/blms/bdq118

zbMATH Keywords

weighted shiftspectral radius algebraextended eigenvalueDeddens algebraextended eigenvector

Mathematics Subject Classification ID

Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Subnormal operators, hyponormal operators, etc. (47B20) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Structure theory of linear operators (47A65)

Related Items (11)

Remarks on complex symmetric operators ⋮ Compact composition operators and Deddens algebras ⋮ Volterra-type operators on the minimal Möbius-invariant space ⋮ Hypercyclicity of operators that \(\lambda \)-commute with the Hardy backward shift ⋮ Invariant subspaces and Deddens algebras ⋮ Extended eigenvalues for bilateral weighted shifts ⋮ Extended eigenvalues of composition operators ⋮ Cesàro means and convex-cyclic operators ⋮ Hypercyclicity of operators that \(\lambda\)-commute with the differentiation operator on the space of entire functions ⋮ Extended eigenvalues for Cesàro operators ⋮ Spectral radius algebras and weighted shifts of finite multiplicity

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