On the semi-continuity of generalized inverses in Banach algebras

被引：0
作者：
Huang, Qianglian [1 ]
Ma, Jipu
机构：
[1] Yangzhou Univ, Coll Math, Yangzhou 225002, Peoples R China
[2] Harbin Normal Univ, Yuan Yung Tseng Funct Anal Res Ctr, Harbin 150025, Peoples R China
来源：
LINEAR ALGEBRA AND ITS APPLICATIONS | 2006年 / 419卷 / 01期
基金：
中国国家自然科学基金;
关键词：
reflexive generalized inverse; Moore-Penrose inverse; Banach algebra; C*-algebra; lower semi-continuity;
D O I：
10.1016/j.laa.2006.04.011
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The main purpose of this paper is to study the continuity of several kinds of generalized inverses of elements in a Banach algebra with identity. We first obtain a sufficient and necessary condition for the lower semi-continuity of reflexive generalized inverses as set-valued mappings. Based on this result, we characterize the continuity of the Moore-Penrose inverse in a C*-algebra and therefore, derive some new and well-known criteria in operator theory. (c) 2006 Elsevier Inc. All rights reserved.
引用
收藏
页码：172 / 179
页数：8
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