Representations for the pseudo Drazin inverse of elements in a Banach algebra

DOI10.11650/tjm.19.2015.4576zbMath1357.47005OpenAlexW2090320964MaRDI QIDQ514848

Huihui Zhu, Jian-Long Chen, Pedro Patrício

Publication date: 9 March 2017

Published in: Taiwanese Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.11650/tjm.19.2015.4576

zbMATH Keywords

Jacobson radicalpseudo Drazin inversestrongly spectral idempotent

Mathematics Subject Classification ID

General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05) General theory of topological algebras (46H05)

Related Items (11)

ps-drazin inverses in banach algebras ⋮ P-Hirano inverses in rings ⋮ The p-Drazin inverse for operator matrix over Banach algebras ⋮ On feckly polar rings ⋮ Generalized Drazin invertibility of the product and sum of two elements in a Banach algebra and its applications ⋮ On the pseudo drazin inverse of the sum of two elements in a Banach algebra ⋮ Certain strongly clean matrices over local rings ⋮ On Jacobson's lemma and Cline's formula for Drazin inverses ⋮ Generalized Zhou inverses in rings ⋮ On the weighted pseudo Drazin invertible elements in associative rings and Banach algebras ⋮ Generalization of some commutative perturbation results

Cites Work

• Pseudo Drazin inverses in associative rings and Banach algebras
• The Drazin inverse of the sum of two matrices and its applications
• The representations of the Drazin inverse of differences of two matrices
• Additive property of pseudo Drazin inverse of elements in Banach algebras
• A note on additive results for the Drazin inverse
• Pseudo-Inverses in Associative Rings and Semigroups
• Additive property of Drazin invertibility of elements in a ring

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