Perturbation of spectra for a class of \(2\times 2\) operator matrices

DOI10.1007/S10255-012-0195-XzbMath1253.47004OpenAlexW2070124585MaRDI QIDQ692721

Guo-jun Hai, Guo Lin Hou, Alatancang Chen

Publication date: 6 December 2012

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

Full work available at URL: https://doi.org/10.1007/s10255-012-0195-x

zbMATH Keywords

continuous spectrumpoint spectrumresidual spectrumoperator matricesperturbation of spectrum

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Perturbation theory of linear operators (47A55) Commutators, derivations, elementary operators, etc. (47B47)

Related Items (7)

Hypercyclicity and Weyl type theorems for operator matrices ⋮ An analogue to a result of Takahashi ⋮ Local spectral property of 2 x 2 operator matrices ⋮ Operator matrices and their Weyl type theorems ⋮ On the point and residual spectrum of the operator matrix M_X ⋮ Unnamed Item ⋮ On local spectral properties of operator matrices

Cites Work

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• Descriptions of spectra of infinite dimensional Hamiltonian operators and their applications
• Spectra of Off-diagonal Infinite-Dimensional Hamiltonian Operators and Their Applications to Plane Elasticity Problems
• Perturbation of Spectrums of 2 × 2 Operator Matrices
• A note on the spectrum of an upper triangular operator matrix
• Invertible completions of $2\times 2$ upper triangular operator matrices

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