On the perturbations of spectra of upper triangular operator matrices

DOI10.1016/j.jmaa.2008.05.073zbMath1143.47003OpenAlexW2084684198MaRDI QIDQ937286

Mohamed Boumazgour, Mohamed Barraa

Publication date: 14 August 2008

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: http://cds.cern.ch/record/747007

zbMATH Keywords

point spectrumgeneralized derivationregular spectrum\(2\times 2\) upper triangular operator matrix

Mathematics Subject Classification ID

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

Related Items (15)

An analogue to a result of Takahashi ⋮ 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 ⋮ On the left (right) invertibility of operator matrices ⋮ Weyl spectrum of upper triangular operator matrices ⋮ The regular spectrum of upper triangular closed operator matrices ⋮ Weylness of 2 × 2 operator matrices ⋮ Characterizations of perturbations of spectra of \(2 \times 2\) upper triangular operator matrices ⋮ Unnamed Item ⋮ Generalized Drazin invertibility of operator matrices ⋮ Completions of upper-triangular matrices to Kato nonsingularity ⋮ Closedness of ranges of upper-triangular operators ⋮ On Weyl completions of partial operator matrices ⋮ Essential spectrum of upper triangular operator matrices ⋮ Unnamed Item

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• A note on Weyl’s theorem for operator matrices
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