On the Right (Left) Invertible Completions for Operator Matrices

被引：25

作者：

Hai, Guojun ^{[1
]}

Chen, Alatancang ^{[1
]}

机构：

[1] Inner Mongolia Univ, Sch Math Sci, Hohhot 010021, Peoples R China

来源：

INTEGRAL EQUATIONS AND OPERATOR THEORY | 2010年 / 67卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Invertible completions; operator matrices; right (left) invertible operator; right (left) Fredholm operator; APPROXIMATE POINT SPECTRA; WEYLS THEOREM; PERTURBATION; INTERSECTION;

D O I：

10.1007/s00020-010-1771-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let H-1 and H-2 be separable Hilbert spaces, and let A is an element of B(H-1), B is an element of B(H-2) and C is an element of B(H-2, H-1) be given operators. A necessary and sufficient condition is given for ((A)(X) (C)(B)) to be a right (left) invertible operator for some X is an element of B(H-1, H-2). Furthermore, some related results are obtained.

引用

页码：79 / 93

页数：15

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