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

作　　者：黄强联 马吉溥 

机构地区：[1]Department of Mathematics Nanjing University

出　　处：《Applied Mathematics and Mechanics(English Edition)》2005年第12期1657-1663,共7页应用数学和力学（英文版）

基　　金：Project supported by the National Natural Science Foundation of China (Nos. 10571150 and 10271053)

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.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.

关 键 词：generalized inverse Moore-Penrose inverse lower semi-continuity Banach space 

分 类 号：O177.2[理学—数学]