| Banach空间中线性算子广义逆的连续性及其应用 |
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| 引用本文： | 黄强联,马吉溥.Banach空间中线性算子广义逆的连续性及其应用[J].应用数学和力学,2005,26(12):1500-1506. |
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| 作者姓名： | 黄强联 马吉溥 |
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| 作者单位： | 南京大学 数学系,南京 210093;2.扬州大学 数学科学学院,江苏 扬州 225002 |
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| 基金项目： | 国家自然科学基金资助项目（10571150;10271053） |
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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 |
| 文章编号： | 1000-0887(2005)12-1500-07 |
| 收稿时间： | 12 9 2003 12:00AM |
| 修稿时间： | 06 16 2005 12:00AM |
Continuity of Generalized Inverses of Linear Operators in Banach Spaces and Its Applications |
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| HUANG Qiang-lian,MA Ji-pu.Continuity of Generalized Inverses of Linear Operators in Banach Spaces and Its Applications[J].Applied Mathematics and Mechanics,2005,26(12):1500-1506. |
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| Authors: | HUANG Qiang-lian MA Ji-pu |
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| Institution: | Department of Mathematics, Nanjing University, Nanjing 210093, P. R. China; |
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| Abstract: | The perturbation problem of geaeralized inverse is studied. And some new stability characteristics of generalized inverses were presented. It was also proved that the stability characteristics of generalized inverses were independent of the choice of the generalized inverse. Based on this result, two sufficient and necessary conditions for the lower semi-continuity of generalized inverses as the set-valued mappings are given. |
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| Keywords: | generalized inverse Moore-Penrvse inverse lower semi-continuity Banach space |
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