Invertibility in rings of the commutatorab – ba, whereaba=aandbab=b

DOI10.1080/03081087.2011.605064zbMath1243.15004OpenAlexW2042138479MaRDI QIDQ2895690

Xiaoji Liu, Vladimir Rakočevič, Julio Benítez Lopez

Publication date: 4 July 2012

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081087.2011.605064

zbMATH Keywords

ringgeneralized inversesinvolutioncommutator

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Matrices over special rings (quaternions, finite fields, etc.) (15B33)

Related Items (3)

A generalization of the co-EP property ⋮ Core inverse in Banach algebras ⋮ The -positive semidefinite matrices A such that are nonsingular

Cites Work

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• Moore-Penrose inverses and commuting elements of \(C^*\)-algebras
• On the norm of idempotents in \(C^*\)-algebras
• The difference and sum of projectors
• Nonsingularity of linear combinations of idempotent matrices
• Invertibility of the commutator of an element in a C^*-algebra and its Moore–Penrose inverse
• Range projections and the Moore–Penrose inverse in rings with involution
• Inverting the Difference of Hilbert Space Projections
• Nonsingularity of the Difference of Two Oblique Projectors
• Invertibility of the Sum of Idempotents
• Invertibility of the Difference of Idempotents
• Hilbert space idempotents and involutions

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