Essential pseudospectra involving demicompact and pseudodemicompact operators and some perturbation results

DOI10.2298/FIL1908519BzbMath1496.47024OpenAlexW3004734472MaRDI QIDQ5080864

Aref Jeribi, Fatma Ben Brahim, Bilel Krichen

Publication date: 31 May 2022

Published in: Filomat (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2298/fil1908519b

zbMATH Keywords

perturbation theoryessential pseudospectrademicompact linear operatorpseudo Fredholm and pseudo semi-Fredholm operators

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Perturbation theory of linear operators (47A55) (Semi-) Fredholm operators; index theories (47A53)

Related Items (2)

Generalized Drazin-meromorphic pseudospectrum for a bounded linear operator on a Banach space ⋮ Relative \(\varepsilon\)-pseudo weak demicompactness and measures of weak noncompactness

Cites Work

• A characterization of the essential pseudospectra on a Banach space
• Relative essential spectra involving relative demicompact unbounded linear operators
• On the essential spectrum of an arbitrary operator. I
• Remarks on condensing and \(k\)-set-contractive mappings
• Demicompact linear operators, essential spectrum and some perturbation results
• A characterization of the essential approximation pseudospectrum on a Banach space
• Spectral Theory and Applications of Linear Operators and Block Operator Matrices
• Measures of noncompactness and essential pseudospectra on Banach space
• Spectral theory of linear operators and spectral systems in Banach algebras
• Discrete approximation of unbounded operators and approximation of their spectra
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