A note on Browder spectrum of operator matrices

DOI10.1016/j.jmaa.2008.03.048zbMath1146.47004arXiv1312.3042OpenAlexW1979207090WikidataQ62037112 ScholiaQ62037112MaRDI QIDQ929573

Shifang Zhang, Huai Jie Zhong, Lin Zhang

Publication date: 17 June 2008

Published in: Journal of Mathematical Analysis and Applications, Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1312.3042

zbMATH Keywords

Hilbert spaceDrazin inverseoperator matricesBrowder spectrumleft semi-Browder spectrum

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Perturbation theory of linear operators (47A55)

Related Items (8)

Spectra for upper triangular linear relation matrices through local spectral theory ⋮ Characterizations of perturbations of spectra of \(2 \times 2\) upper triangular operator matrices ⋮ A note on Browder spectrum of operator matrices ⋮ Generalized Drazin-Riesz invertibility for operator matrices ⋮ On the filling in holes problem for operator matrices ⋮ The intersection of upper and lower semi-Browder spectrum of upper-triangular operator matrices ⋮ Generalized Drazin spectrum of operator matrices ⋮ Limit points for Browder spectrum of operator matrices

Cites Work

• Characterizations of perturbations of spectra of \(2 \times 2\) upper triangular operator matrices
• Generalized invertibility of 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
• A note on Browder spectrum of operator matrices
• Drazin spectrum of operator matrices on the Banach space
• Continuous spectrum, point spectrum and residual spectrum of operator matrices
• On the right (left) invertible completions for operator matrices
• Weyl's theorem for operator matrices
• Corrigendum to ``Browder spectra of upper-triangular operator matrices [J. Math. Anal. Appl. 323, 700--707 (2006)]
• Browder spectra for upper triangular operator matrices
• Spectral continuity for operator matrices
• Index of B-Fredholm operators and generalization of a Weyl theorem
• Drazin invertibility of the diagonal of an operator
• Weyl spectra of operator matrices
• Invertible completions of $2\times 2$ upper triangular operator matrices
• The boundedness below of \(2\times 2\) upper triangular operator matrices
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