Operators with closed range, pseudo-inverses, and perturbation of frames for a subspace

被引：25
|
作者：
Christensen, O [1 ]
机构：
[1] Tech Univ Denmark, Dept Math, DK-2800 Lyngby, Denmark
来源：
CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES | 1999年 / 42卷 / 01期
关键词：
D O I：
10.4153/CMB-1999-004-5
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Recent work of Ding and Huang shows that if we perturb a bounded operator (between Hilbert spaces) which has closed range, then the perturbed operator again has dosed range. We extend this result by introducing a weaker perturbation condition, and our result is then used to prove a theorem about the stability of frames for a subspace.
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页码：37 / 45
页数：9
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