Left- and Right-Atkinson Linear Relation Matrices

被引：14

作者：

Alvarez, Teresa ^{[1
]}

Chamkha, Yosra ^{[2
]}

Mnif, Maher ^{[2
]}

机构：

[1] Univ Oviedo, Dept Math, Oviedo 33007, Asturias, Spain

[2] Univ Sfax, Dept Math, Fac Sci Sfax, BP 1171, Sfax 3000, Tunisia

来源：

MEDITERRANEAN JOURNAL OF MATHEMATICS | 2016年 / 13卷 / 04期

关键词：

Left-Atkinson relation; right-Atkinson relation; upper triangular linear relation matrix; OPERATOR MATRICES; FREDHOLM RELATIONS; SPECTRA; PERTURBATIONS; SPACES;

D O I：

10.1007/s00009-015-0598-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let X and Y be Banach spaces. When A and B are linear relations in X and Y, respectively, we denote by M (C) the linear relation in X x Y of the form , where 0 is the zero operator from X to Y and C is a bounded operator from Y to X. The goal of this paper is to present some necessary and sufficient conditions on A and B such that there exists a bounded operator C from Y to X for which M (C) is a Browder linear relation in X x Y.

引用

页码：2039 / 2059

页数：21

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