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arXiv · 1302.3965

Perturbation analysis of bounded homogeneous generalized inverses on Banach spaces

Jianbing Cao·Yifeng Xue
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Abstract

Let $X, Y$ be Banach spaces and $T : X \to Y$ be a bounded linear operator. In this paper, we initiate the study of the perturbation problems for bounded homogeneous generalized inverse $T^h$ and quasi--linear projector generalized inverse $T^H$ of $T$. Some applications to the representations and perturbations of the Moore--Penrose metric generalized inverse $T^M$ of $T$ are also given. The obtained results in this paper extend some well--known results for linear operator generalized inverses in this field.

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BibTeXRIS

Jianbing Cao, Yifeng Xue. 2013-02-16. Perturbation analysis of bounded homogeneous generalized inverses on Banach spaces. https://arxiv.org/abs/1302.3965

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