Perturbations of frames

被引：0
|
作者：
Dong Yang Chen
Lei Li
Ben Tuo Zheng
机构：
[1] Xiamen University,School of Mathematical Sciences
[2] Nankai University,School of Mathematical Sciences and LPMC
[3] University of Memphis,Department of Mathematics
来源：
Acta Mathematica Sinica, English Series | 2014年 / 30卷
关键词：
Hilbert frames; near-Riesz basis; Schauder frames; perturbation; 46B15; 46C05; 47A55;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we give some sufficient conditions under which perturbations preserve Hilbert frames and near-Riesz bases. Similar results are also extended to frame sequences, Riesz sequences and Schauder frames. It is worth mentioning that some of our perturbation conditions are quite different from those used in the previous literatures on this topic.
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页码：1089 / 1108
页数：19
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