Outer generalized inverses with prescribed ideals

DOI10.1080/03081087.2013.816302zbMath1305.15014OpenAlexW1983494679MaRDI QIDQ2926017

Gabriel Kantún-Montiel

Publication date: 29 October 2014

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

Full work available at URL: https://doi.org/10.1080/03081087.2013.816302

zbMATH Keywords

idempotentDrazin inverseBanach spaceannihilatorbounded linear operatorprincipal idealBott-Duffin inverseouter generalized inverseMary's inverse

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05)

Related Items (16)

Weighted inner inverse for rectangular matrices ⋮ The \((b,c)\)-inverse in rings and in the Banach context ⋮ Representations for the image-kernel \((p,q)\)-inverses of block matrices in rings ⋮ The Bott-Duffin \((e,f)\)-inverses and their applications ⋮ Existence and Representations of Solutions to Some Constrained Systems of Matrix Equations ⋮ Outer inverses in semigroups belonging to the prescribed Green's equivalence classes ⋮ Characterizations of the image-kernel (\(p,q\))-inverses ⋮ The inverse along an element in rings with an involution, Banach algebras and -algebras ⋮ Characterizations and representations of the inverse along an element ⋮ Representations of the (b,c)-inverses in rings with involution ⋮ Reflexive-EP elements in rings ⋮ The reverse order law of the \((b,c)\)-inverse in semigroups ⋮ New results on (b, c)–inverses ⋮ The inverse along an element in rings ⋮ One-sided (b,c)-inverses in rings ⋮ On the (b,c)-inverse in rings

Cites Work

• On generalized inverses and Green's relations
• A class of outer generalized inverses
• The \(\sigma g\)-Drazin inverse and the generalized Mbekhta decomposition
• Outer Generalized Inverses in Rings

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