Further results on partial isometries and EP elements in rings with involution

DOI10.1016/j.mcm.2011.02.035zbMath1225.15008OpenAlexW2032392117MaRDI QIDQ646108

Dijana Mosić, Dragan S. Djordjević

Publication date: 11 November 2011

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2011.02.035

zbMATH Keywords

Moore-Penrose inversegroup inversepartial isometryring with involutionEP element

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Rings with involution; Lie, Jordan and other nonassociative structures (16W10)

Related Items (19)

Weak group inverses and partial isometries in proper *-rings ⋮ Strongly EP elements in rings with involution ⋮ Further results of special elements in rings with involution ⋮ On a weighted core inverse in a ring with involution ⋮ NEC rings ⋮ Some new characterizations of EP elements, partial isometries and strongly EP elements in rings with involution ⋮ Partial isometries and generalized inverses of linear relations ⋮ The influence of the expression form of solutions to related equations on SEP elements in a ring with involution ⋮ Generalized inverse equations and SEP elements in a ring with involution ⋮ ∗-Strongly regular rings ⋮ Characterizations of partial isometries and two special kinds of EP elements ⋮ Characterizations of m-EP elements in rings ⋮ SOME NEW CHARACTERIZATIONS OF PARTIAL ISOMETRIES IN RINGS WITH INVOLUTION ⋮ Unnamed Item ⋮ Semi-generalized partial isometries ⋮ EP elements and *-strongly regular rings ⋮ The Moore-Penrose inverse in rings with involution ⋮ Some characterizations of partial isometry elements in rings with involutions ⋮ Strongly EP elements in a ring with involution

Cites Work

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• On a matrix decomposition of Hartwig and Spindelböck
• Moore-Penrose-invertible normal and Hermitian elements in rings.
• Generalized inverses. Theory and applications.
• Semigroups of EP linear transformations
• Products of EP operators on Hilbert spaces
• Matrices for whichA^∗andA^†commute
• On generalized inverses in C*-algebras
• Elements of rings with equal spectral idempotents

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