New results on reverse order law for $\{1,2,3\}$- and $\{1,2,4\}$-inverses of bounded operators

DOI10.1090/S0025-5718-2013-02660-9zbMath1279.15010OpenAlexW1970300528MaRDI QIDQ2840623

Dragana S. Cvetković-Ilić, Xiaoji Liu, Shuxia Wu

Publication date: 23 July 2013

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

Full work available at URL: https://doi.org/10.1090/s0025-5718-2013-02660-9

zbMATH Keywords

Hilbert spaceMoore-Penrose inversereverse order lawblock-operator matrix\(\{1,2,3\}\)-inverse\(\{1,2,4\}\)-inverse

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05)

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Reflected generalized beta inverse Weibull distribution: definition and properties, Hartwig’s triple reverse order law in C*-algebras, Improvements on the reverse order laws, Reverse order laws for \(\{1,2,3\}\)-generalized inverses, Applications of completions of operator matrices to reverse order law for \(\{1\}\)-inverses of operators on Hilbert spaces, Algebraic proof methods for identities of matrices and operators: improvements of Hartwig's triple reverse order law, Reverse order law for generalized inverses of multiple operator product, Reverse order laws for reflexive generalized inverse of operators, Multiplicative perturbations of matrices and the generalized triple reverse order law for the Moore-Penrose inverse, Various solutions to reverse order law problems, A note on the forward order law for least square \(g\)-inverse of three matrix products, Reverse order laws for Hirano inverses in rings, On the mixed-type generalized inverses of the products of two operators

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