The inverse along an element in rings with an involution, Banach algebras and C^*-algebras

2015/09/14 by Julio Benítez, Benitez, Julio, Enrico Boasso +1 · 2 citations
Computer Science · Mathematics · #Matrix Theory and Algorithms #Algebraic and Geometric Analysis #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.1509.04251

Abstract

Properties of the inverse along an element in rings with an involution, Banach algebras and C^*-alegbras will be studied unifying known expressions concerning generalized inverses.

Cited by

• One-sided (b, c)-inverses in rings
• The reverse order law of the (b, c)-inverse in rings

Related

• The inverse along an element in rings
• The (b, c)-inverse in rings and in the Banach context
• Natural generalized inverse and core of an element in semigroups, rings and Banach and Operator Algebras
• Generalized Hirano inverses in rings
• Group, Moore-Penrose, core and dual core inverse in rings with involution