Continuity of Generalized Inverses of Linear Operators in Banach Spaces and Its Applications
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摘要: 研究了Banach空间中广义逆的扰动问题．给出了广义逆稳定的一些新特征,进而证明了这些稳定性特征与广义逆的选取无关,并由此得到了广义逆作为集值映射是下半连续的充要条件．
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关键词:
- 广义逆 /
- Moore-Penrose逆 /
- 下半连续 /
- Banach空间
Abstract: The perturbation problem of generalized inverse is studied.And somenewsta bility characteristics of generalize dinverses were prese nted.It was also proved that the stability characteristics of gener alized inverses were independent of the choice of the generalize dinver se.Based on this result,two sufficient and necessary conditions for the lower semi-continuity of gener alized inverses as the set-valued mappings are given.-
Key words:
- generalized inverse /
- Moore-Penrose inverse /
- lower semi-continuity /
- Banach space
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