| CONTINUITY OF GENERALIZED INVERSES OF LINEAR OPERATORS IN BANACH SPACES AND ITS APPLICATIONS |
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| 作者姓名： | 黄强联 马吉溥 |
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| 作者单位： | Department of Mathematics Nanjing University，Department of Mathematics Nanjing University Nanjing 210093，P. R. China College of Mathematics Yangzhou University Yangzhou 225002 Jiangsu Province P. R. China，Nanjing 210093 P. R. China |
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| 基金项目： | Project supported by the National Natural Science Foundation of China （Nos. 10571150 and 10271053）.Acknowledgement The authors would like to acknowledge the support provided by the Rearch Fund for Doctor of Yangzhou University. |
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| 摘 要： | The perturbation problem of generalized 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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| 关 键 词： | 广义逆 Moore-Penrose逆 巴拿赫空间 不完全连续性 非线性算子 |
| 文章编号： | 0253-4827（2005）12-1657-07 |
| 收稿时间： | 2003-12-09 |
| 修稿时间： | 2005-06-16 |
Continuity of generalized inverses of linear operators in Banach spaces and its applications |
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| Qiang-lian Huang,Ji-pu Ma.CONTINUITY OF GENERALIZED INVERSES OF LINEAR OPERATORS IN BANACH SPACES AND ITS APPLICATIONS[J].Applied Mathematics and Mechanics(English Edition),2005,26(12):1657-1663. |
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| Authors: | Qiang-lian Huang Ji-pu Ma |
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| Institution: | 1. Department of Mathematics, Nanjing University, Nanjing, 210093, P. R. China
2. College of Mathematics, Yangzhou University, Yangzhou, 225002, Jiangsu Province, P. R. China
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| Abstract: | The perturbation problem of generalized 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-Penrose inverse lower semi-continuity Banach space |
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