On left and right Browder elements in Banach algebra relative to a bounded homomorphism

DOI10.1515/gmj-2023-2040OpenAlexW4382863495MaRDI QIDQ6062427

Faiçal Abdmouleh, Ines Walha, Hassen Khlif

Publication date: 30 November 2023

Published in: Georgian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/gmj-2023-2040

zbMATH Keywords

Banach algebraFredholm elementleft-righrt Weyl elements, homomorphism of Banach algebraleft-right Browder elementsleft-right Browder spectraleft-right Weyl spectra

Mathematics Subject Classification ID

Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06) Spectrum, resolvent (47A10) Groups and semigroups of linear operators (47D03) (Semi-) Fredholm operators; index theories (47A53) Spectral theory of functional-differential operators (34K08)

Cites Work

• Stability of essential spectra of bounded linear operators
• \({\mathcal T}\)-Fredholm analysis and application to operator theory
• Fredholm theory relative to a Banach algebra homomorphism
• Characterization and stability of the essential spectrum based on measures of polynomially non-strict singularity operators
• Spectral description of Fredholm operators via polynomially Riesz operators perturbation
• Spectral theory of linear operators and spectral systems in Banach algebras
• Fredholm, semi-Fredholm perturbations, and essential spectra
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