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

被引：0
|
作者：
黄强联
马吉溥
机构：
[1] Nanjing 210093 P. R. China
[2] Department of Mathematics Nanjing University Nanjing 210093
[3] P. R. China College of Mathematics Yangzhou University Yangzhou 225002 Jiangsu Province P. R. China
[4] Department of Mathematics Nanjing University
来源：
Applied Mathematics and Mechanics(English Edition) | 2005年 / 12期
基金：
中国国家自然科学基金;
关键词：
generalized inverse; Moore-Penrose inverse; lower semi-continuity; Banach space;
D O I：
暂无
中图分类号：
O177.2 [巴拿赫空间及其线性算子理论];
学科分类号：
070104 ;
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.
引用
收藏
页码：1657 / 1663
页数：7
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