On Weighted Reverse Order Laws for the Moore–Penrose Inverse andK-Inverses

DOI10.1080/00927872.2010.543364zbMath1246.15006arXiv1401.7797OpenAlexW2038945098MaRDI QIDQ5389025

Robin E. Harte, Dragana S. Cvetković-Ilić, Enrico Boasso

Publication date: 24 April 2012

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1401.7797

zbMATH Keywords

Moore-Penrose inverseReverse order lawK-inversePrime ringRing with involution

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09)

Related Items

Reverse order law of Drazin inverse for bounded linear operators, Mixed-type reverse-order laws for \(\{1, 3, 4\}\)-generalized inverses over Hilbert spaces, Reverse Order Law for the Group Inverse in Semigroups and Rings

Cites Work

• Reverse order laws in \(C^{*}\)-algebras
• Moore-Penrose inverse in rings with involution
• Moore-Penrose-invertible normal and Hermitian elements in rings.
• Elementary operators on prime \(C^*\)-algebras. I
• An invariance property related to the reverse order law
• Elementary operators on prime C*-algebras II
• A joint spectral characterization of primeness for C$^*$-algebras
• On the Taylor spectrum of left-right multipliers
• Elements of rings with equal spectral idempotents
• Note on the Generalized Inverse of a Matrix Product
• Prime Ideals in General Rings