$a$-Weyl’s theorem for operator matrices

DOI10.1090/S0002-9939-01-06110-XzbMath0994.47013OpenAlexW2079279053MaRDI QIDQ2759019

Slaviša V. Djordjević, Young Min Han

Publication date: 10 December 2001

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-01-06110-x

zbMATH Keywords

Weyl's theoremWeyl spectrumBrowder's theoremessential approximate point spectrum\(a\)-Browder's theorem\(a\)-Weyl's theoremBrowder essential approximate point spectrum

Mathematics Subject Classification ID

(Semi-) Fredholm operators; index theories (47A53) Equations and inequalities involving linear operators, with vector unknowns (47A50)

Related Items (7)

Semi-Fredholm spectrum and Weyl's theorem for operator matrices ⋮ Extended Weyl-type theorems for direct sums ⋮ Generalized invertibility of operator matrices ⋮ Essential approximate point spectra and Weyl's theorem for operator matrices ⋮ Browder essential approximate point spectra and hypercyclicity for operator matrices ⋮ Property (b) and property (w) for operator matrices ⋮ Perturbations of spectra and property \((R)\) for upper triangular operator matrices

Cites Work

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• Classes of linear operators. Vol. I
• On the Weyl spectrum. II
• 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
• Approximate point spectrum and commuting compact perturbations
• Another note on Weyl’s theorem
• Invertible completions of $2\times 2$ upper triangular operator matrices
• A spectral mapping theorem for the Weyl spectrum

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