The intersection of left (right) spectra of \(2 \times 2\) upper triangular operator matrices

DOI10.1016/j.laa.2006.01.020zbMath1105.47004OpenAlexW2055180465MaRDI QIDQ852631

Yuan Li, Xiu-Hong Sun, Hong-Ke Du

Publication date: 15 November 2006

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2006.01.020

zbMATH Keywords

operator matricesperturbation of spectra

Mathematics Subject Classification ID

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

Related Items (18)

The point spectrum and residual spectrum of upper triangular operator matrices ⋮ Left invertibility of formal Hamiltonian operators ⋮ Perturbing the spectrum of operator \(T_n^d(A)\) ⋮ The upper semi-Weylness and positive nullity for operator matrices ⋮ Characterizations of perturbations of spectra of \(2 \times 2\) upper triangular operator matrices ⋮ The (generalized) Weylness of upper triangular operator matrices ⋮ A note on Browder spectrum of operator matrices ⋮ Drazin spectrum of operator matrices on the Banach space ⋮ Perturbation of spectra for a class of \(2\times 2\) operator matrices ⋮ A note on the left essential spectra of operator matrices ⋮ Consistent invertibility of upper triangular operator matrices ⋮ On the right (left) invertible completions for operator matrices ⋮ Some results on Fredholmness and boundedness below of an upper triangular operator matrix ⋮ Generalized Drazin spectrum of operator matrices ⋮ The semi-Fredholmness of \(2\times 2\) operator matrices ⋮ Unnamed Item ⋮ Closedness of ranges of unbounded upper triangular operator matrices ⋮ Left invertible completions of upper triangular operator matrices with unbounded entries

Cites Work

• The intersection of essential approximate point spectra of operator matrices
• On operator ranges
• Perturbation of Spectrums of 2 × 2 Operator Matrices
• Weyl spectra of operator matrices
• Browder's theorems and spectral continuity
• Invertible completions of $2\times 2$ upper triangular operator matrices
• The boundedness below of \(2\times 2\) upper triangular operator matrices
• Unnamed Item
• Unnamed Item
• Unnamed Item

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