Compact perturbations and factorizations of closed range operators

被引：0
|
作者：
Serban, Ioana [1 ]
Turcu, Flavius [1 ]
机构：
[1] Univ Bordeaux 1, LAPS 351, F-33400 Talence, France
来源：
ACTA SCIENTIARUM MATHEMATICARUM | 2006年 / 72卷 / 1-2期
关键词：
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper it is shown that if A and B are closed range operators in a Hilbert space for which the equation B=XA has at least one solution, then the compactness of A-B is equivalent to the existence of a solution X such that X-I is compact. This result has several consequences on the description of the compact perturbations of particular classes of operators.
引用
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页码：345 / 351
页数：7
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