On the local spectral properties of weighted shift operators

DOI10.4064/sm163-1-3zbMath1070.47023arXivmath/0303070OpenAlexW1988567516MaRDI QIDQ4811167

Abdellatif Bourhim

Publication date: 18 August 2004

Published in: Studia Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0303070

zbMATH Keywords

Bishop's condition \((\beta)\)local spectral radiusweighted shift operatorssingle-valued extension propertydecomposable operatoranalytic spectral subspaceDunford's condition (C)local resolvent setoriented envelope

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Numerical range, numerical radius (47A12) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Spectral sets of linear operators (47A25) Local spectral properties of linear operators (47A11)

Related Items (7)

The single-valued extension property for bilateral operator weighted shifts ⋮ A note on the A-spectrum of A-bounded operators ⋮ Spectrum and local spectrum preservers of skew Lie products of matrices ⋮ Recent progress on local spectrum-preserving maps ⋮ Local spectrum linear preservers at non-fixed vectors ⋮ Unitary equivalence of operator-valued multishifts ⋮ A local spectral condition for strong compactness with some applications to bilateral weighted shifts

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