On the p-invertibility in rings and Banach algebras

DOI10.1007/s00010-022-00892-4OpenAlexW4282843102MaRDI QIDQ2172846

Mohammed Berkani

Publication date: 16 September 2022

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

Full work available at URL: https://doi.org/10.1007/s00010-022-00892-4

zbMATH Keywords

spectral set\(\lambda\)-sequenceDrazin invertibilitygeneralized Drazin invertibilityp-invertibility

Mathematics Subject Classification ID

General theory of linear operators (47Axx) Topological algebras, normed rings and algebras, Banach algebras (46Hxx) Idempotent elements (associative rings and algebras) (16U40) Generalized inverses (associative rings and algebras) (16U90)

Cites Work

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• Generalized Kato-meromorphic decomposition, generalized Drazin-meromorphic invertible operators and single-valued extension property
• Pseudo-Inverses in Associative Rings and Semigroups
• A generalized Drazin inverse
• Elements of rings with equal spectral idempotents
• Left and right generalized Drazin invertible operators and local spectral theory
• Left and right generalized Drazin invertible operators on Banach spaces and applications

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