LIMITS OF HYPERCYCLIC AND SUPERCYCLIC OPERATOR MATRICES

DOI10.1017/S1446788708000438zbMath1177.47012MaRDI QIDQ5322929

Xiaohong Cao

Publication date: 23 July 2009

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

zbMATH Keywords

spectrumWeyl operatorhyperbolicityanalytic corequasi-nilpotent partsemi-Fredholm

Mathematics Subject Classification ID

Perturbation theory of linear operators (47A55) Invariant subspaces of linear operators (47A15) (Semi-) Fredholm operators; index theories (47A53) Cyclic vectors, hypercyclic and chaotic operators (47A16)

Cites Work

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• Dunford's property \((C)\) and Weyl's theorems.
• Polaroid operators satisfying Weyl's theorem
• Weyl type theorem and hypercyclic operators
• Browder essential approximate point spectra and hypercyclicity for operator matrices
• Limits of hypercyclic and supercyclic operators
• The single valued extension property on a Banach space
• Essential approximate point spectra and Weyl's theorem for operator matrices
• A note on *-paranormal operators
• Weyl type theorems and hypercyclic operators II
• On Isolated Points of the Spectrum of a Bounded Linear Operator

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