The semi-Fredholmness of 2 x 2 operator matrices

被引：13
|
作者：
Hai, Guojun [1 ]
Chen, Alatancang [1 ]
机构：
[1] Inner Mongolia Univ, Sch Math Sci, Hohhot 010021, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2009年 / 352卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Operator matrices; Right (left) Fredholm operator; Right (left) essential spectrum; APPROXIMATE POINT SPECTRA; WEYLS THEOREM; PERTURBATION; INTERSECTION;
D O I：
10.1016/j.jmaa.2008.11.035
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let H-1 and H-2 be separable infinite-dimensional 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 obtained for ((A)(X) (C)(B)) to be a right (left) Fredholm operator for some X is an element of B(H-1. H-2). (c) 2008 Elsevier Inc. All rights reserved.
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页码：733 / 738
页数：6
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