Perturbation Ideals and Fredholm Theory in Banach Algebras

DOI10.17398/2605-5686.37.1.91zbMath1503.46039OpenAlexW4281477814MaRDI QIDQ5084861

Heinrich Raubenheimer, Tshikhudo Lukoto

Publication date: 28 June 2022

Published in: Extracta Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.17398/2605-5686.37.1.91

zbMATH Keywords

index theoryFredholm elementsRiesz elementsperturbation ideals(semi) regularities

Mathematics Subject Classification ID

(Semi-) Fredholm operators; index theories (47A53) General theory of topological algebras (46H05) Radical Banach algebras (46J45)

Cites Work

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• Fredholm theory relative to a Banach algebra homomorphism
• A primer on spectral theory
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• Ruston elements and fredholm theory relative to arbitrary homomorphisms
• The index for Fredholm elements in a Banach algebra via a trace
• An axiomatic approach to joint spectra I
• A generalized Drazin inverse
• On regularities and Fredholm theory
• KOLIHA-DRAZIN INVERTIBLES FORM A REGULARITY
• Spectral theory of linear operators and spectral systems in Banach algebras

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