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arXiv · 1301.4314

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

Jianbing Cao·Yifeng Xue
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Abstract

In this paper, we first study the perturbations and expressions for the generalized inverses $a^{(2)}_{p,q}$, $a^{(1, 2)}_{p,q}$, $a^{(2, l)}_{p,q}$ and $a^{(l)}_{p,q}$ 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.

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BibTeXRIS

Jianbing Cao, Yifeng Xue. 2013-01-18. Perturbation analysis for the generalized inverses with prescribed idempotents in Banach algebras. https://arxiv.org/abs/1301.4314

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