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CONTINUITY OF GENERALIZED INVERSES OF LINEAR OPERATORS IN BANACH SPACES AND ITS APPLICATIONS

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【Author】 HUANG Qiang-lian MA Ji-pu (Department of Mathematics, Nanjing University, Nanjing 210093, P. R. China; College of Mathematics, Yangzhou University, Yangzhou 225002, Jiangsu Province P. R. China)

【机构】 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；

【摘要】 <正>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.更多还原

【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.更多还原

【关键词】 generalized inverse； Moore-Penrose inverse； lower semi-continuity； Banach space；
【Key words】 generalized inverse； Moore-Penrose inverse； lower semi-continuity； Banach space；

【基金】 Project supported by the National Natural Science Foundation of China (Nos. 10571150 and 10271053)

【文献出处】 Applied Mathematics and Mechanics(English Edition) ,应用数学和力学(英文版) , 编辑部邮箱 ,2005年12期

【分类号】O177.2
【被引频次】19
【下载频次】54

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