Properties of Demicompact Operators, Essential Spectra and Some Perturbation Results for Block Operator Matrices with Applications

DOI10.1080/03081087.2019.1586826zbMath1455.47002OpenAlexW2921446974WikidataQ114641266 ScholiaQ114641266MaRDI QIDQ5145083

Aref Jeribi, Bilel Krichen, Ali Zitouni

Publication date: 19 January 2021

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

Full work available at URL: https://doi.org/10.1080/03081087.2019.1586826

zbMATH Keywords

Fredholm operatorsessential spectrumsemi-Fredholm operatorsoperator matricesdemicompact linear operator

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Perturbation theory of linear operators (47A55) (Semi-) Fredholm operators; index theories (47A53) Applications of operator theory to differential and integral equations (47N20) Schrödinger and Feynman-Kac semigroups (47D08) Operator matrices (47A08)

Related Items (3)

Fixed Point Theorems for Weakly Asymptotically Regular Mappings in Banach Spaces with an Application ⋮ Generalized weak demicompactness involving measure of non-strict-singularity ⋮ Spectral properties for \(\gamma \)-diagonally dominant operator matrices using demicompactness classes and applications

Cites Work

• On the perturbation theory for Fredholm operators
• On the essential spectrum of matrix operators
• Fredholm operators, essential spectra and application to transport equations
• Relative essential spectra involving relative demicompact unbounded linear operators
• Construction of fixed points of demicompact mappings in Hilbert space
• Remarks on condensing and \(k\)-set-contractive mappings
• Demicompact linear operators, essential spectrum and some perturbation results
• The Essential Spectrum of Some Matrix Operators
• Spectral Theory and Applications of Linear Operators and Block Operator Matrices
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