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.

引用

页码：37 / 45

页数：9

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