A note on the spectrum of an upper triangular operator matrix

DOI10.1090/S0002-9939-03-06862-XzbMath1050.47005OpenAlexW1640897514MaRDI QIDQ4417201

Mohamed Boumazgour, Mohamed Barraa

Publication date: 28 July 2003

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-03-06862-x

zbMATH Keywords

spectrumgeneralized derivation\(2\times2\) upper triangular operator matrix

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Perturbation theory of linear operators (47A55) Commutators, derivations, elementary operators, etc. (47B47) Spectral operators, decomposable operators, well-bounded operators, etc. (47B40)

Related Items (20)

Drazin invertibility of upper triangular operator matrices ⋮ Browder spectra of upper-triangular operator matrices ⋮ Perturbation of spectra of operator matrices and local spectral theory ⋮ On some local spectral theory and bounded local resolvent of operator matrices ⋮ The point spectrum and residual spectrum of upper triangular operator matrices ⋮ Spectra of \(3 \times 3\) upper triangular operator matrices ⋮ Weyl type theorems of \(2 \times 2\) upper triangular operator matrices ⋮ Spectra for upper triangular linear relation matrices through local spectral theory ⋮ Characterizations of perturbations of spectra of \(2 \times 2\) upper triangular operator matrices ⋮ On the perturbations of spectra of upper triangular operator matrices ⋮ Weyl’s theorem for upper triangular operator matrix and perturbations ⋮ Riesz points of upper triangular operator matrices ⋮ Upper semi-Weyl and upper semi-Browder spectra of unbounded upper triangular operator matrices ⋮ Perturbation of spectra for a class of \(2\times 2\) operator matrices ⋮ Essential, Weyl and Browder spectra of unbounded upper triangular operator matrices ⋮ Unnamed Item ⋮ Dichotomy spectra of triangular equations ⋮ The Kachurovskij spectrum of Lipschitz continuous nonlinear block operator matrices ⋮ Closedness of ranges of upper-triangular operators ⋮ Some spectra properties of unbounded $2\times2$ upper triangular operator matrices

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