Applications of completions of operator matrices to reverse order law for \(\{1\}\)-inverses of operators on Hilbert spaces

DOI10.1016/j.laa.2015.06.015zbMath1345.47002OpenAlexW760403720MaRDI QIDQ491115

Dragana S. Cvetković-Ilić, Vladimir Pavlović

Publication date: 24 August 2015

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

Full work available at URL: https://doi.org/10.1016/j.laa.2015.06.015

zbMATH Keywords

generalized inversereverse order law\(\{1\}\)-inversescompletions of operator matrices

Mathematics Subject Classification ID

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

Related Items

Operator matrix representations of the generalised Bott-Duffin inverse, Hartwig’s triple reverse order law in C*-algebras, Unnamed Item, Improvements on the reverse order laws, 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 the core inverse in rings, Reverse order laws for Hirano inverses in rings

Cites Work

• Applications of completions of operator matrices to reverse order law for \(\{1\}\)-inverses of operators on Hilbert spaces
• Further results on the reverse-order law
• Reverse order laws for \(\{1,3,4\}\)-generalized inverses in \(C^{*}\)-algebras
• Reverse order laws in \(C^{*}\)-algebras
• The reverse order law for \(\{1, 3, 4\}\)-inverse of the product of two matrices
• Continuous spectrum, point spectrum and residual spectrum of operator matrices
• Some results on partial ordering and reverse order law of elements of \(C^{*}\)-algebras
• On the right (left) invertible completions for operator matrices
• The reverse order laws for \(\{1,2,3\}\) - and \(\{1,2,4\}\) -inverses of a two-matrix product
• The product of operators with closed range and an extension of the reverse order law
• Reverse order law for reflexive generalized inverses of products of matrices
• When is \(B^ -A^ -\) a generalized inverse of \(AB\)?
• Reverse order laws for the generalized inverses of multiple matrix products
• Reverse order laws for least squares \(g\)-inverses and minimum norm \(g\)-inverses of products of two matrices
• Equivalent conditions for generalized inverses of products
• The reverse order law for the generalized inverse \(A^{(2)}_{T,S}\)
• Reverse order laws for generalized inverses of multiple matrix products
• A note on the reverse order law for reflexive generalized inverse of multiple matrix products
• New results on reverse order law for $\{1,2,3\}$- and $\{1,2,4\}$-inverses of bounded operators
• Perturbation of Spectrums of 2 × 2 Operator Matrices
• Invertible completions of $2\times 2$ upper triangular operator matrices
• Note on the Generalized Inverse of a Matrix Product
• Further results on the reverse order law for the group inverse in rings
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item