Improvements on the reverse order laws

DOI10.1002/mana.202100661OpenAlexW4365455823MaRDI QIDQ6093617

Unnamed Author, Dragana S. Cvetković-Ilić

Publication date: 9 October 2023

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.202100661

zbMATH Keywords

ringgeneralized inversereverse order lawMP-inverse

Mathematics Subject Classification ID

Rings with involution; Lie, Jordan and other nonassociative structures (16W10) General theory of (C^*)-algebras (46L05)

Cites Work

• Unnamed Item
• Unnamed Item
• 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
• Reverse order law for the group inverses
• Further results on the reverse order law for \(\{1,3\}\)-inverse and \(\{1,4\}\)-inverse of a matrix product
• Reverse order laws for \(\{1,3,4\}\)-generalized inverses in \(C^{*}\)-algebras
• Reverse order laws in \(C^{*}\)-algebras
• Reverse order law of group inverses of products of two matrices
• A comment on some recent results concerning the reverse order law for \(\{ 1, 3, 4 \}\)-inverses
• The reverse order law for \(\{1, 3, 4\}\)-inverse of the product of two matrices
• Some results on partial ordering and reverse order law of elements of \(C^{*}\)-algebras
• Moore-Penrose inverse in rings with involution
• The reverse order laws for \(\{1,2,3\}\) - and \(\{1,2,4\}\) -inverses of a two-matrix product
• The reverse order law revisited
• 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
• Reverse order laws for least squares \(g\)-inverses and minimum norm \(g\)-inverses of products of two matrices
• Triple reverse-order law for weighted generalized inverses
• Generalized inverses. Theory and applications.
• On reverse-order laws for least-squares g-inverses and minimum norm g-inverses of a matrix product
• Algebraic properties of generalized inverses
• New results on reverse order law for $\{1,2,3\}$- and $\{1,2,4\}$-inverses of bounded operators
• New conditions for the reverse order laws for {1,3} and {1,4}-generalized inverses
• Further Results on the Reverse Order Law for Generalized Inverses
• Hartwig’s triple reverse order law in C*-algebras
• Reverse Order Law for the Group Inverse in Semigroups and Rings
• Note on the Generalized Inverse of a Matrix Product
• Reverse order law for generalized inverses of multiple operator product