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
收藏
页码：245 / 258
页数：14
相关论文
共 50 条
12345