The Stability of Banach Frames in Banach Spaces

被引：0
|
作者：
Yu Can ZHU Department of Mathematics
机构：
来源：
Acta Mathematica Sinica(English Series) | 2010年 / 26卷 / 12期
关键词：
Frame; Banach frame; X_d-frame; pseudoinverse operator;
D O I：
暂无
中图分类号：
O177.2 [巴拿赫空间及其线性算子理论];
学科分类号：
070104 ;
摘要：
In this paper,we give some equivalent conditions on a Banach frame for a Banach spaceby using the pseudoinverse operator.We also consider the stability of a Banach frame for a Banachspace X with respect to Xor an X-frame for a Banach space X under perturbation.These resultsgeneralize and improve the related works of Balan,Casazza,Christensen,Stoeva and Jian et al.
引用
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页码：2369 / 2376
页数：8
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