Invertibility of the commutator of an element in a C*-algebra and its Moore–Penrose inverse

DOI10.4064/sm200-2-4zbMath1208.46050OpenAlexW2057347862MaRDI QIDQ3066333

Julio Benítez Lopez, Vladimir Rakočevič

Publication date: 10 January 2011

Published in: Studia Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/sm200-2-4

zbMATH Keywords

Moore-Penrose inverse

Mathematics Subject Classification ID

Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) General theory of (C^*)-algebras (46L05) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05)

Related Items (4)

Invertibility in rings of the commutatorab – ba, whereaba=aandbab=b ⋮ A generalization of the co-EP property ⋮ The -positive semidefinite matrices A such that are nonsingular ⋮ On the continuity of the group inverse in \(C^*\)-algebras

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