Extended eigenvalues for bilateral weighted shifts

DOI10.1016/j.jmaa.2016.07.045zbMath1351.47010OpenAlexW2481891609MaRDI QIDQ739548

Luis J. Muñoz-Molina, Miguel Lacruz, Fernando León-Saavedra

Publication date: 18 August 2016

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.2016.07.045

zbMATH Keywords

intertwining operatorbilateral weighted shiftextended eigenoperatorextended eigenvalueHilbert space operator

Mathematics Subject Classification ID

Eigenvalue problems for linear operators (47A75) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37)

Related Items (3)

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

Cites Work

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• Intertwining relations and extended eigenvalues for analytic Toeplitz operators
• Compact operators without extended eigenvalues
• Beyond hyperinvariance for compact operators
• Hyperinvariant subspaces and extended eigenvalues
• Extended eigenvalues for Cesàro operators
• On extended eigenvalues of operators
• Spectral radius algebras, Deddens algebras, and weighted shifts
• Operators $\alpha $-commuting with a compact operator
• Localizing algebras and invariant subspaces
• On spectral radius algebras and normal operators

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