Weyl’s theorem for upper triangular operator matrix and perturbations

DOI10.1080/03081087.2017.1351516zbMath1502.47004OpenAlexW2736020351MaRDI QIDQ4640102

Xiaohong Cao, Miao-Miao Cui

Publication date: 16 May 2018

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

Full work available at URL: https://doi.org/10.1080/03081087.2017.1351516

zbMATH Keywords

spectrumWeyl's theoreminvariant subsetupper triangular operator

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Perturbation theory of linear operators (47A55) (Semi-) Fredholm operators; index theories (47A53) Operators on Hilbert spaces (general) (47B02) Operator matrices (47A08)

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Cites Work

• Topics in operator theory. Constantin Apostol memorial issue
• On the Weyl spectrum. II
• Riesz points and Weyl's theorem
• On the Weyl spectrum
• Essential approximate point spectra and Weyl's theorem for operator matrices
• Weyl's theorem for nonnormal operators
• An extension of Weyl's theorem to a class of not necessarily normal operators
• WEYL TYPE THEOREMS FOR FUNCTIONS OF OPERATORS
• Fredholm Perturbation of Spectra of $2\times 2$ Upper Triangular Matrix
• Quasitriangular $+$ small compact $=$ strongly irreducible
• Another note on Weyl’s theorem
• A note on the spectrum of an upper triangular operator matrix
• Invertible completions of $2\times 2$ upper triangular operator matrices
• The Diagonal Entries in the Formula `Quasitriangular - Compact = Triangular', and Restrictions of Quasitriangularity
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