On essential spectra of operator-matrices and their Feshbach maps.

DOI10.1016/j.jmaa.2003.08.025zbMath1067.47020OpenAlexW2093310067MaRDI QIDQ1425124

D. Massart

Publication date: 15 March 2004

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2003.08.025

zbMATH Keywords

Fredholm propertyessential spectrumSchur complementsoperator matrix

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56)

Related Items (10)

Essential spectra of some matrix operators and application to two-group transport operators with general boundary conditions ⋮ On a characterization of the essential spectra of some matrix operators and application to two-group transport operators ⋮ A characterization of the essential pseudospectra on a Banach space ⋮ Eigenvalue accumulation for singular Sturm-Liouville problems nonlinear in the spectral parameter ⋮ Essential spectra of operator matrices and applications ⋮ On the spectral boundary value problems and boundary approximate controllability of linear systems ⋮ On some subsets of Schechter's essential spectrum of a matrix operator and application to transport operator ⋮ Solvability conditions for infinite systems of difference equations ⋮ A Characterization of the Pseudo-Browder Essential Spectra of Linear Operators and Application to a Transport Equation ⋮ Riesz projection and essential \(S\)-spectrum in quaternionic setting

Cites Work

• On the spectral theory of elliptic differential operators. I
• Integral operators in potential theory
• Classes of linear operators. Vol. I
• The Livsic matrix in perturbation theory
• Quantum electrodynamics of confined nonrelativistic particles
• On the essential spectrum of matrix operators
• Eigenvalue accumulation for singular Sturm-Liouville problems nonlinear in the spectral parameter
• Operator Interpretation of Resonances Arising in Spectral Problems for 2 × 2 Operator Matrices
• The Essential Spectrum of Some Matrix Operators
• A note on Riesz bases of eigenvectors of certain holomorphic operator-functions
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