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.
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页码：79 / 93
页数：15
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