Perturbing the spectrum of operator \(T_n^d(A)\)

DOI10.1007/s13398-022-01339-wOpenAlexW4306923391MaRDI QIDQ2681957

Nikola Sarajlija

Publication date: 31 January 2023

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2108.12153

zbMATH Keywords

perturbationleft invertibleright invertible\(n\times n\)upper triangular

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Perturbation theory of linear operators (47A55) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05) Operator matrices (47A08)

Cites Work

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• The point spectrum, residual spectrum and continuous spectrum of upper-triangular operator matrices with given diagonal entries
• A note on Drazin invertibility for upper triangular block operators
• Characterizations of perturbations of spectra of \(2 \times 2\) upper triangular operator matrices
• Generalized Weyl spectrum of upper triangular operator matrices
• Generalized invertibility of operator matrices
• Essential spectrum of upper triangular operator matrices
• The intersection of left (right) spectra of \(2 \times 2\) upper triangular operator matrices
• Perturbation of Spectrums of 2 × 2 Operator Matrices
• Invertible completions of $2\times 2$ upper triangular operator matrices
• RIGHT AND LEFT FREDHOLM OPERATOR MATRICES
• On upper triangular operator 2 x 2 matrices over C*-algebras
• The boundedness below of \(2\times 2\) upper triangular operator matrices

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