The \((b,c)\)-inverse in rings and in the Banach context

DOI10.1007/s00009-017-0910-1zbMath1384.15003arXiv1607.02456OpenAlexW2962760594MaRDI QIDQ1674183

Enrico Boasso, Gabriel Kantún-Montiel

Publication date: 1 November 2017

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

Full work available at URL: https://arxiv.org/abs/1607.02456

zbMATH Keywords

Banach algebragroup inversereverse order law\((b,c)\)-inverseunitary ringBott-Duffin \((p,q)\)-inverse

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) General theory of topological algebras (46H05) Conditions on elements (16U99) General and miscellaneous (16B99)

Related Items (10)

Weighted inner inverse for rectangular matrices ⋮ Weighted G-Outer Inverse of Banach Spaces Operators ⋮ Outer inverses in semigroups belonging to the prescribed Green's equivalence classes ⋮ Further results on the (b, c)-inverse, the outer inverse AT,S(2) and the Moore–Penrose inverse in the Banach context ⋮ Existence criteria and expressions of the \((b,c)\)-inverse in rings and their applications ⋮ On the continuity and differentiability of the (dual) core inverse in C*-algebras ⋮ Centralizer's applications to the \((b, c)\)-inverses in rings ⋮ Rank equalities related to the generalized inverses \(A^{\Vert (B_1,C_1)}\), \(D^{\Vert(B_2,C_2)}\) of two matrices \(A\) and \(D\) ⋮ Rank equalities related to a class of outer generalized inverse ⋮ New classes of more general weighted outer inverses

Cites Work

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• The Bott-Duffin \((e,f)\)-inverses and their applications
• A note on Drazin inverses
• A class of outer generalized inverses
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• Commuting properties of generalized inverses
• Integral and limit representations of the outer inverse in Banach space
• Outer generalized inverses with prescribed ideals
• The Representation and Computational Procedures for the Generalized Inverse of an OperatorAin Hilbert Spaces
• The (b,c)-inverse for products and lower triangular matrices
• Characterizations of Outer Generalized Inverses
• The characterizations and representations for the generalized inverses with prescribed idempotents in Banach algebras
• Image-kernel (P,Q)-inverses in rings
• Studies with generalized matrix algebra

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