Perturbation analysis for the generalized inverses with prescribed idempotents in Banach algebras

Abstract

In this paper, we first study the perturbations and expressions for the generalized inverses $a_{p,q}^{(2)}$, $a_{p,q}^{(1,2)}$, $a_{p,q}^{(2,l)}$ and $a_{p,q}^{(l)}$ with prescribed idempotents $p$ and $q$. Then, we investigate the general perturbation analysis and error estimate for some of these generalized inverses when $p,q$ and $a$ also have some small perturbations.

18 pages

Cited by in corpus (2)

• Characterizations of the $(b,c)$-inverse in a ring
• Twists of two or multiple idempotent matrices