The decomposability for operator matrices and perturbations

DOI10.1007/s10114-023-1265-0zbMath1518.47006MaRDI QIDQ6043146

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Publication date: 4 May 2023

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

zbMATH Keywords

perturbationoperator matrixBishop's property \((\beta)\)local spectral theoryDunford's property \((C)\)decomposition property \((\delta)\)decompos-ability

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) (Semi-) Fredholm operators; index theories (47A53) Local spectral properties of linear operators (47A11) Operator matrices (47A08)

Cites Work

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• Bishop's property \((\beta)\) and Riesz idempotent for \(k\)-quasi-paranormal operators
• SVEP and compact perturbations
• A duality theorem for an arbitrary operator
• Perturbation of spectra of operator matrices and local spectral theory
• Upper triangular operator matrices, SVEP and Browder, Weyl theorems
• On the boundedness of the local resolvent function
• Local spectral theory for \(2\times 2\) operator matrices
• Local spectral properties of a square matrix of operators
• Local spectral properties under conjugations
• Upper triangular operator matrices, SVEP, and property \((w)\)
• Essential point spectra of operator matrices trough local spectral theory
• Local spectral theory of linear operators RS and SR
• On bounded local resolvents
• Upper triangular operators with SVEP: Spectral properties
• Isolated points of spectrum of k-quasi-*-class A operators
• OPERATORS WITH THE SINGLE VALUED EXTENSION PROPERTY
• Analytical Functional Models and Local Spectral Theory
• Spectra of 2×2 upper triangular operator matrices with unbounded entries
• Spectra of upper triangular operator matrices

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