Continuity of generalized inverses of linear operators in Banach spaces and its applications

被引：0
|
作者：
Qiang-lian Huang
Ji-pu Ma
机构：
[1] Nanjing University,Department of Mathematics
[2] Yangzhou University,College of Mathematics
来源：
Applied Mathematics and Mechanics | 2005年 / 26卷
关键词：
generalized inverse; Moore-Penrose inverse; lower semi-continuity; Banach space; O177.2; A; 15A09; 47A05;
D O I：
暂无
中图分类号：
学科分类号：
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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页码：1657 / 1663
页数：6
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