The characterizations of the stable perturbation of a closed operator by a linear operator in Banach spaces

被引：3
|
作者：
Du, Fapeng [1 ]
Xue, Yifeng [2 ]
机构：
[1] Xuzhou Inst Technol, Sch Math & Phys Sci, Xuzhou 221008, Jiangsu Provinc, Peoples R China
[2] E China Normal Univ, Dept Math, Shanghai 200241, Peoples R China
来源：
LINEAR ALGEBRA AND ITS APPLICATIONS | 2013年 / 438卷 / 05期
关键词：
Closed operator; Generalized inverse; Stable perturbation; PROJECTION GENERALIZED INVERSES; HILBERT-SPACES;
D O I：
10.1016/j.laa.2012.09.032
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we investigate the invertibility of I-Y + delta TT+ when T is a closed operator from X to Y with a generalized inverse T+ and delta T is a linear operator whose domain contains D(T) and range is contained in D(T+). The characterizations of the stable perturbation T + delta T of T by delta T in Banach spaces are obtained. The results extend the main results in [7,8]. (c) 2012 Elsevier Inc. All rights reserved.
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页码：2046 / 2053
页数：8
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