Some new properties in Fredholm theory, Schechter essential spectrum, and application to transport theory

DOI10.1155/2008/852676zbMath1151.47018OpenAlexW2030235348WikidataQ59214419 ScholiaQ59214419MaRDI QIDQ938421

Abdelkader Dehici, Maher Mnif, Aref Jeribi, Boulbeba Abdelmoumen

Publication date: 19 August 2008

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

Full work available at URL: https://eudml.org/doc/129443

zbMATH Keywords

measure of noncompactnessFredholm operatorsemi-Fredholm operatorSchechter essential spectrum

Mathematics Subject Classification ID

Related Items (10)

Demicompactness results for strongly continuous semigroups, generators and resolvents ⋮ Symmetric family of Fredholm operators of indices zero, stability of essential spectra and application to transport operators ⋮ Demicompact linear operators, essential spectrum and some perturbation results ⋮ Spectral analysis of perturbed Fredholm operators ⋮ New description of the structured essential pseudospectra ⋮ Measure of weak noncompactness, some new properties in Fredholm theory, characterization of the Schechter essential spectrum and application to transport operators ⋮ Generalized weak demicompactness involving measure of non-strict-singularity ⋮ Measures of noncompactness and essential pseudospectra on Banach space ⋮ Perturbation results on semi-Fredholm operators and applications ⋮ Characterization and stability of the essential spectrum based on measures of polynomially non-strict singularity operators

Cites Work

• Some results on Fredholm operators, essential spectra, and application
• Essential spectra on spaces with the Dunford-Pettis property
• Relatively strictly singular perturbations, essential spectra, and application to transport operators
• A characterization of the Schechter essential spectrum on Banach spaces and applications
• Polynomially compact-like strongly continuous semigroups
• Fredholm operators, essential spectra and application to transport equations
• On the essential spectrum
• Spectral mapping theorems for essential spectra
• Ascent, Descent, and Commuting Perturbations
• Linear Operations on Summable Functions
• Sur Les Applications Lineaires Faiblement Compactes D'Espaces Du Type C(K)

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