Weyl's theorem for operator matrices

DOI10.1007/BF01203773zbMath0923.47001OpenAlexW1965955151MaRDI QIDQ1281543

Woo Young Lee

Publication date: 31 October 1999

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01203773

zbMATH Keywords

Weyl's theoremWeyl spectrumBrowder's theoremRiesz points

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Perturbation theory of linear operators (47A55) (Semi-) Fredholm operators; index theories (47A53)

Related Items (28)

Hypercyclicity and Weyl type theorems for operator matrices ⋮ A note on Weyl’s theorem for operator matrices ⋮ Corrigendum to ``Browder spectra of upper-triangular operator matrices [J. Math. Anal. Appl. 323, 700--707 (2006)] ⋮ Operator matrices and their Weyl type theorems ⋮ Property \((R)\) for upper triangular operator matrices ⋮ Semi-Fredholm spectrum and Weyl's theorem for operator matrices ⋮ Unnamed Item ⋮ A note on Browder spectrum of operator matrices ⋮ On the perturbations of spectra of upper triangular operator matrices ⋮ Weyl type theorems for complex symmetric operator matrices ⋮ On the filling in holes problem for operator matrices ⋮ Weyl's theorem for Toeplitz operators with polynomial symbols on the harmonic Bergman space ⋮ A note on the Browder's and Weyl's theorem ⋮ Generalized invertibility of operator matrices ⋮ $a$-Weyl’s theorem for operator matrices ⋮ Browder spectra for upper triangular operator matrices ⋮ The boundedness below of \(2\times 2\) upper triangular operator matrices ⋮ Weyl's theorem for upper triangular operator matrices ⋮ Continuous spectrum, point spectrum and residual spectrum of operator matrices ⋮ The intersection of upper and lower semi-Browder spectrum of upper-triangular operator matrices ⋮ Essential approximate point spectra and Weyl's theorem for operator matrices ⋮ Browder essential approximate point spectra and hypercyclicity for operator matrices ⋮ Generalized Drazin spectrum of operator matrices ⋮ Unnamed Item ⋮ Generalized Weyl's theorem and property (gw) for upper triangular operator matrices ⋮ Closedness of ranges of upper-triangular operators ⋮ Property (b) and property (w) for operator matrices ⋮ Weyl type theorems and hypercyclic operators II

Cites Work

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• Classes of linear operators. Vol. I
• On the Weyl spectrum. II
• Ascent, descent and the Atkinson region in Banach algebras. II
• On the Weyl spectrum
• Weyl's theorem for nonnormal operators
• An extension of Weyl's theorem to a class of not necessarily normal operators
• Perturbation of Spectrums of 2 × 2 Operator Matrices
• Another note on Weyl’s theorem
• Weyl spectra of operator matrices
• Hyponormality and spectra of Toeplitz operators
• A spectral mapping theorem for the Weyl spectrum
• On the spectrum of a Toeplitz operator

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