Perturbation analysis of $A_{T,S}^{(2)}$ on Banach spaces

preprint2012arXivOpen access

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.

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Perturbation analysis of $A_{T,S}^{(2)}$ on Banach spaces

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Perturbation analysis of AT,S(2)A_{T,S}^{(2)}AT,S(2)​ on Banach spaces

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Perturbation analysis of $A_{T,S}^{(2)}$ on Banach spaces