Weyl spectra of operator matrices

DOI10.1090/S0002-9939-00-05846-9zbMath0965.47011OpenAlexW1494861643MaRDI QIDQ4510057

Woo Young Lee

Publication date: 19 October 2000

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-00-05846-9

zbMATH Keywords

Weyl's theoremFredholm propertiesWeyl spectrumoperator matricesWeyl spectral radius

Mathematics Subject Classification ID

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

Related Items (58)

Normal Operators and their Generalizations ⋮ Iterated Aluthge transforms of composition operators on H² ⋮ Left- and right-Atkinson linear relation matrices ⋮ Hypercyclicity and Weyl type theorems for operator matrices ⋮ A note on Weyl’s theorem for operator matrices ⋮ The intersection of left (right) spectra of \(2 \times 2\) upper triangular operator matrices ⋮ Browder spectra of upper-triangular operator matrices ⋮ Perturbation of spectra of operator matrices and local spectral theory ⋮ The spectrum is continuous on the set of quasi-\(n\)-hyponormal operators ⋮ The intersection of essential approximate point spectra of operator matrices ⋮ The point spectrum, residual spectrum and continuous spectrum of upper-triangular operator matrices with given diagonal entries ⋮ Self-adjoint perturbations of spectra for upper triangular operator matrices ⋮ Invertibility properties of operator matrices on Hilbert spaces ⋮ Fredholm properties of upper triangular matrices of relations ⋮ Essential spectra of upper triangular relation matrices ⋮ Spectra for upper triangular linear relation matrices through local spectral theory ⋮ Weyl spectrum of upper triangular operator matrices ⋮ The essential spectrum of the volume integral operator in electromagnetic scattering by a homogeneous obstacle with Lipschitz boundary and regularization ⋮ Weylness of 2 × 2 operator matrices ⋮ Characterizations of perturbations of spectra of \(2 \times 2\) upper triangular operator matrices ⋮ Semi-Fredholm spectrum and Weyl's theorem for operator matrices ⋮ A unifying approach to Weyl type theorems for Banach space operators ⋮ Unnamed Item ⋮ A note on Browder spectrum of operator matrices ⋮ Triangular n-isometric operators ⋮ Unnamed Item ⋮ On the perturbations of spectra of upper triangular operator matrices ⋮ Generalized Weyl spectrum of upper triangular operator matrices ⋮ Browder spectra and essential spectra of operator matrices ⋮ Drazin spectrum of operator matrices on the Banach space ⋮ Subscalarity, invariant, and hyperinvariant subspaces for upper triangular operator matrices ⋮ Weyl type theorems for complex symmetric operator matrices ⋮ Extended Weyl-type theorems for direct sums ⋮ On the filling in holes problem for operator matrices ⋮ Riesz points of upper triangular operator matrices ⋮ A note on the left essential spectra of operator matrices ⋮ Browder spectra for upper triangular operator matrices ⋮ On complex symmetric operator matrices ⋮ Essential spectra of quasisimilar \((p,k)\)-quasihyponormal operators ⋮ Weyl's theorem for upper triangular operator matrices ⋮ Consistent invertibility of 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 ⋮ Unnamed Item ⋮ Generalized Drazin spectrum of operator matrices ⋮ Dichotomy spectra of triangular equations ⋮ Unnamed Item ⋮ Closedness of ranges of upper-triangular operators ⋮ On Weyl completions of partial operator matrices ⋮ Weyl's theorem for operator matrices ⋮ On local spectral properties of operator matrices ⋮ Property \((UW_E)\) for operators and operator matrices ⋮ Essential spectrum of upper triangular operator matrices ⋮ Unnamed Item ⋮ Unnamed Item ⋮ On the range of upper triangular relation matrices

Cites Work

• Classes of linear operators. Vol. I
• On the Weyl spectrum
• Hyponormal operators
• Weyl's theorem for nonnormal operators
• An extension of Weyl's theorem to a class of not necessarily normal operators
• The Generalized Fredholm Operators
• Perturbation of Spectrums of 2 × 2 Operator Matrices
• Another note on Weyl’s theorem
• Shorter Notes: Index of Fredholm Operators
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