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PERTURBATION ANALYSIS FOR THE GENERALIZED INVERSES WITH PRESCRIBED IDEMPOTENTS IN BANACH ALGEBRAS
Author(s) : Jianbing Cao and Yifeng Xue
Pages : [19] - [47]
Received : December 3, 2012
Communicated by : Professor Jong-Kwang Yoo
Pages : [19] - [47]
Received : December 3, 2012
Communicated by : Professor Jong-Kwang Yoo
Abstract
In this paper, we first study the perturbations and expressions for the generalized inverses 
and 
with prescribed idempotents p and q. Then, we investigate the general perturbation analysis and error estimate for some of these generalized inverses when 
and a also have some small perturbations.
Keywords
gap function, idempotent element, generalized inverse, perturbation.