Perturbation of normally solvable linear relations in paracomplete spaces

被引：14

作者：

Chafai, Ezzeddine ^{[1
]}

Mnif, Maher ^{[1
]}

机构：

[1] Univ Sfax, Fac Sci Sfax, Dept Math, Sfax 3000, Tunisia

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2013年 / 439卷 / 07期

关键词：

Perturbation; Normally solvable linear relations; Paracomplete spaces; FREDHOLM; OPERATORS;

D O I：

10.1016/j.laa.2013.05.019

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we investigate the stability of the index, the nullity and the deficiency of normally solvable linear relations in paracomplete spaces under perturbation by strictly singular and T-strictly singular linear relations. This study led us to generalize some well-known results for operators and extend some results of small perturbation of normally solvable linear relations given by T. Alvarez (2012) [3]. (C) 2013 Elsevier Inc. All rights reserved.

引用

页码：1875 / 1885

页数：11

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