Bounded point evaluations for cyclic operators and local spectra

DOI10.1090/S0002-9939-01-06102-0zbMath0999.47008MaRDI QIDQ2758992

Abdellatif Bourhim, El Hassan Zerouali, Charles E. Chidume

Publication date: 10 December 2001

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

approximate point spectrumlocal spectrumcyclic vectorcompression spectrumunilateral weighted shiftcyclic operatorsDunford condition

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Subnormal operators, hyponormal operators, etc. (47B20) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Cyclic vectors, hypercyclic and chaotic operators (47A16) Local spectral properties of linear operators (47A11)

Related Items (2)

The interior of bounded point evaluations for rationally cyclic operators ⋮ Evaluation points for cyclic operators with Bishop's property (\(\beta\))

Cites Work

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• Ranges of hyponormal operators
• Spectral decompositions on Banach spaces
• \(H^2(\mu)\) spaces and bounded point evaluations
• The local spectra of pure quasinormal operators
• A Local Spectral Theory for Operators. V: Spectral Subspaces for Hyponormal Operators
• Approximate Point Spectrum of a Weighted Shift

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