Construct approximate dual g-frames in Hilbert spaces

被引：3

作者：

Guo, Qianping ^{[1
]}

Leng, Jingsong ^{[2
]}

Li, Houbiao ^{[2
]}

机构：

[1] Henan Univ Finance & Econ, Dept Math & Informat Sci, Zhengzhou 450002, Peoples R China

[2] Univ Elect Sci & Technol China, Sch Math Sci, Chengdu, Peoples R China

来源：

LINEAR & MULTILINEAR ALGEBRA | 2021年 / 69卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Hwa-Long Guo; Frame; bounded linear operator; erasure;

D O I：

10.1080/03081087.2019.1593924

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we first present some simple approaches to obtain dual and approximate dual g-frames. Then, we show that approximate dual g-frames are stable under some conditions. Finally, we give mainly a new characterization for approximate dual g-frames associated with given g-frames and bounded operators. Moreover, we prove that if two g-frames are close to each other, then we can find approximate dual g-frames associated with them which are close to each other.

引用

页码：245 / 258

页数：14

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