Spectral permanence for the Moore-Penrose inverse

DOI10.1090/S0002-9939-2012-11159-1zbMath1282.46043OpenAlexW2065664861MaRDI QIDQ2845749

Robin E. Harte, Dragan S. Djordjević, Snežana Č. Živković-Zlatanović

Publication date: 3 September 2013

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-2012-11159-1

zbMATH Keywords

\(C^*\)-algebraDrazin inverseMoore-Penrose inverseFredholm theoryrelatively regular element

Mathematics Subject Classification ID

(Semi-) Fredholm operators; index theories (47A53) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05) Topological algebras, normed rings and algebras, Banach algebras (46H99) Topological (rings and) algebras with an involution (46K99)

Related Items (1)

Reverse order law in \(C^{\ast }\)-algebras

Cites Work

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• Positive elements and the \(B^ *\) condition
• Factorization of EP elements inC*-algebras
• On generalized inverses in C*-algebras
• A generalized Drazin inverse
• On the converse of a theorem of Harte and Mbekhta: Erratum to ``On generalized inverses in C^*-algebras
• Theory of operator algebras I.

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