Hypercyclicity and Weyl type theorems for operator matrices

DOI10.7153/oam-2018-12-21zbMath1487.47007OpenAlexW2805824089WikidataQ129712597 ScholiaQ129712597MaRDI QIDQ3174833

Jaeseong Heo, Il Ju An

Publication date: 18 July 2018

Published in: Operators and Matrices (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/oam-2018-12-21

zbMATH Keywords

Weyl's theoremBrowder essential approximate point spectrum\(2 \times 2\) operator matrices$a$-Weyl's theorem$a$-Browder's theorem

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Perturbation theory of linear operators (47A55) (Semi-) Fredholm operators; index theories (47A53) Cyclic vectors, hypercyclic and chaotic operators (47A16) Operator matrices (47A08)

Related Items (1)

Weyl type theorems for selfadjoint operators on Krein spaces

Cites Work

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• Weyl's theorem for upper triangular operator matrices
• Perturbation of spectra for a class of \(2\times 2\) operator matrices
• Limits of hypercyclic and supercyclic operators
• Weyl's theorem for operator matrices
• Weyl's theorem for algebraically paranormal operators
• Essential approximate point spectra and Weyl's theorem for operator matrices
• Weyl's theorem for nonnormal operators
• An extension of Weyl's theorem to a class of not necessarily normal operators
• Weyl type theorems and hypercyclic operators II
• WEYL'S THEOREM, $a$-WEYL'S THEOREM, AND LOCAL SPECTRAL THEORY
• Weyl spectra of operator matrices
• q-FREQUENT HYPERCYCLICITY IN AN ALGEBRA OF OPERATORS

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