The point spectrum, residual spectrum and continuous spectrum of upper-triangular operator matrices with given diagonal entries

DOI10.1007/s00009-015-0673-5zbMath1356.47005OpenAlexW2279390952MaRDI QIDQ350183

Alatancang Chen, Jun-Jie Huang, Xiu Feng Wu

Publication date: 7 December 2016

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-015-0673-5

zbMATH Keywords

perturbation theorycontinuous spectrumpoint spectrumresidual spectrum\(n\times n\) upper-triangular operator matrix

Mathematics Subject Classification ID

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

Related Items (4)

Spectral property of upper triangular relation matrices ⋮ Perturbing the spectrum of operator \(T_n^d(A)\) ⋮ Weyl spectrum of upper triangular operator matrices ⋮ Essential spectrum of upper triangular operator matrices

Cites Work

• Unnamed Item
• A note on Drazin invertibility for upper triangular block operators
• On the perturbations of spectra of upper triangular operator matrices
• Continuous spectrum, point spectrum and residual spectrum of operator matrices
• Classes of linear operators. Vol. I
• Generalized inverses. Theory and applications.
• Closed range and Fredholm properties of upper-triangular operator matrices
• Essential point spectra of operator matrices trough local spectral theory
• Browder spectra for upper triangular operator matrices
• Left invertibility of formal Hamiltonian operators
• Quasitriangular $+$ small compact $=$ strongly irreducible
• Perturbation of Spectrums of 2 × 2 Operator Matrices
• Weyl spectra of operator matrices
• Riesz points of upper triangular operator matrices
• Invertible completions of $2\times 2$ upper triangular operator matrices

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