Characterizations of perturbations of spectra of \(2 \times 2\) upper triangular operator matrices

DOI10.1016/j.jmaa.2012.03.031zbMath1256.47015OpenAlexW2040507831MaRDI QIDQ428368

Zhaoqi Wu, Shifang Zhang

Publication date: 19 June 2012

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2012.03.031

zbMATH Keywords

perturbationHilbert spacespectraoperator matrices

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Perturbation theory of linear operators (47A55) (Semi-) Fredholm operators; index theories (47A53)

Related Items (8)

Left- and right-Atkinson linear relation matrices ⋮ Weyl type theorems of \(2 \times 2\) upper triangular operator matrices ⋮ Invertibility properties of operator matrices on Hilbert spaces ⋮ Perturbing the spectrum of operator \(T_n^d(A)\) ⋮ Unnamed Item ⋮ A note on Browder spectrum of operator matrices ⋮ The intersection of upper and lower semi-Browder spectrum of upper-triangular operator matrices ⋮ Generalized Drazin spectrum of operator matrices

Cites Work

• Unnamed Item
• The intersection of left (right) spectra of \(2 \times 2\) upper triangular operator matrices
• Perturbation of spectra of operator matrices and local spectral theory
• The intersection of essential approximate point spectra of operator matrices
• A note on Browder spectrum of operator matrices
• On the perturbations of spectra of upper triangular operator matrices
• Browder spectra and essential spectra of operator matrices
• Drazin spectrum of operator matrices on the Banach space
• On the filling in holes problem for operator matrices
• Continuous spectrum, point spectrum and residual spectrum of operator matrices
• Essential approximate point spectra and Weyl's theorem for operator matrices
• Semi-Fredholm spectrum and Weyl's theorem for operator matrices
• Essential point spectra of operator matrices trough local spectral theory
• A note on the left essential spectra of operator matrices
• Browder spectra for upper triangular operator matrices
• Samuel multiplicities and Browder Spectrum of Operator Matrices
• Spectra of Upper-triangular Operator Matrix
• Perturbation of Spectrums of 2 × 2 Operator Matrices
• A note on the spectrum of an upper triangular operator matrix
• Weyl spectra of operator matrices
• Browder's theorems and spectral continuity
• INTERSECTIONS OF THE LEFT AND RIGHT ESSENTIAL SPECTRA OF $2\times 2$ UPPER TRIANGULAR 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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