Characterizations of some classes of relatively regular operators

被引：2
|
作者：
Schmoeger, Christoph [1 ]
机构：
[1] Univ Karlsruhe TH, Inst Anal, D-76128 Karlsruhe, Germany
来源：
LINEAR ALGEBRA AND ITS APPLICATIONS | 2008年 / 429卷 / 01期
关键词：
relatively regular operators; generalized inverses;
D O I：
10.1016/j.laa.2008.02.028
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A bounded linear operator A on a Banach space is called relatively regular, if there is a bounded linear operator B such that ABA = A. In this case B is called a g(1)-inverse of A. In this paper we characterize some classes of relatively regular operators A via the set {B-1 - B-2 : B-1 and B-2 are g(1)-inverses of A}. (C) 2008 Elsevier Inc. All rights reserved.
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页码：302 / 310
页数：9
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