Elements of rings and Banach algebras with related spectral idempotents

DOI10.1017/S1446788700014099zbMath1110.47009OpenAlexW1964518475MaRDI QIDQ5480465

Nieves Castro-González, J. Y. Vélez-Cerrada

Publication date: 1 August 2006

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s1446788700014099

zbMATH Keywords

perturbationCalkin algebrageneralized Drazin inverseEP elementsspectral idempotentnatural homomorphism

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Perturbation theory of linear operators (47A55) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05)

Related Items (6)

*-DMP elements in *-semigroups and *-rings ⋮ Jacobson's lemma for the generalized Drazin inverse ⋮ On the perturbation of the group generalized inverse for a class of bounded operators in Banach spaces ⋮ GENERALIZED INVERSES OF A SUM IN RINGS ⋮ On the \((p,q)\) outer generalized inverse in Banach algebra ⋮ Inner Generalized Inverses with Prescribed Idempotents

Cites Work

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• Characterizations of matrices which eigenprojections at zero are equal to a fixed perturbation
• Block generalized inverses
• The perturbation theory for the Drazin inverse and its applications
• Perturbation of the Drazin inverse for matrices with equal eigenprojections at zero
• Error bounds for a general perturbation of the Drazin inverse
• Pseudo-Inverses in Associative Rings and Semigroups
• New additive results for the g-Drazin inverse
• Error Bounds for Perturbation of the Drazin Inverse of Closed Operators with Equal Spectral Projections
• An improvement on perturbation bounds for the Drazin inverse
• An improvement on the perturbation of the group inverse and oblique projection

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