Reverse order laws in \(C^{*}\)-algebras

DOI10.1016/j.laa.2010.11.022zbMath1216.46051OpenAlexW1969996474MaRDI QIDQ624545

Dragana S. Cvetković-Ilić, Robin E. Harte

Publication date: 9 February 2011

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

Full work available at URL: https://doi.org/10.1016/j.laa.2010.11.022

zbMATH Keywords

generalized inverse\(C^{*}\)-algebrareverse order lawMP-inverse

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) General theory of (C^*)-algebras (46L05)

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Two groups of mixed reverse order laws for generalized inverses of two and three matrix products, Improvements on the reverse order laws, Mixed-type reverse-order laws for \(\{1, 3, 4\}\)-generalized inverses over Hilbert spaces, Reverse order laws for {1, 3}-generalized inverses, Reverse order laws for the weighted generalized inverses, Reverse order laws for \(\{1,2,3\}\)-generalized inverses, On Weighted Reverse Order Laws for the Moore–Penrose Inverse andK-Inverses, Applications of completions of operator matrices to reverse order law for \(\{1\}\)-inverses of operators on Hilbert spaces, Applications of completions of operator matrices to some properties of operator products on Hilbert spaces, Linear and multilinear functional identities in a prime ring with applications, A note on the reverse order law for least squareg-inverse of 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, The forward order laws for \(\{1,2,3\}\)- and \(\{1,2,4\}\)-inverses of multiple matrix products, Reverse order law for the core inverse in rings, Various solutions to reverse order law problems, Reverse-order law for the Moore–Penrose inverses of tensors, A note on the forward order law for least square \(g\)-inverse of three matrix products, New results on reverse order law for $\{1,2,3\}$- and $\{1,2,4\}$-inverses of bounded operators, Some relations of projection and star order in Hilbert space, Reverse order laws for Hirano inverses in rings, On the mixed-type generalized inverses of the products of two operators

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