Perturbation analysis of $A_{T,S}^{(2)}$ on Banach spaces
arXiv:1207.17763 citationsh-index: 13
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Provides theoretical perturbation analysis for a specialized generalized inverse, relevant to researchers in functional analysis and operator theory.
The paper studies perturbation stability of the generalized inverse $A_{T,S}^{(2)}$ on Banach spaces, deriving conditions for stability under subspace perturbations and providing explicit perturbation bounds.
In this paper, the perturbation problems of $A_{T,S}^{(2)}$ are considered. By virtue of the gap between subspaces, we derive the conditions that make the perturbation of $A_{T,S}^{(2)}$ is stable when $T,S$ and $A$ have suitable perturbations. At the same time, the explicit formulas for perturbation of $A_{T,S}^{(2)}$ and new results on perturbation bounds are obtained.