Construct approximate dual g-frames in Hilbert spaces

被引：2

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

共 50 条

[11] Characterization and stability of approximately dual g-frames in Hilbert spaces
Yan-Ling Fu
Wei Zhang
[J]. Journal of Inequalities and Applications, 2018
[12] Continuous G-Frames in Hilbert Spaces
Abdollahpour, M. R.
Faroughi, M. H.
[J]. SOUTHEAST ASIAN BULLETIN OF MATHEMATICS, 2008, 32 (01) : 1 - 19
[13] On Weaving g-Frames for Hilbert Spaces
Dongwei Li
Jinsong Leng
Tingzhu Huang
Xiaoping Li
[J]. Complex Analysis and Operator Theory, 2020, 14
[14] Exact g-frames in Hilbert spaces
Li, Jian-Zhen
Zhu, Yu-Can
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2011, 374 (01) : 201 - 209
[15] ON SUM OF G-FRAMES IN HILBERT SPACES
Chugh, Renu
Goel, Shashank
[J]. JORDAN JOURNAL OF MATHEMATICS AND STATISTICS, 2012, 5 (02): : 115 - 124
[16] On Weaving g-Frames for Hilbert Spaces
Li, Dongwei
Leng, Jinsong
Huang, Tingzhu
Li, Xiaoping
[J]. COMPLEX ANALYSIS AND OPERATOR THEORY, 2020, 14 (02)
[17] G-frames potential in hilbert spaces
Yousefzadeheyni, Azam
Abdollahpour, Mohammad Reza
[J]. UPB Scientific Bulletin, Series C: Electrical Engineering and Computer Science, 2019, 81 (01): : 197 - 208
[18] G-FRAMES POTENTIAL IN HILBERT SPACES
Yousefzadeheyni, Azam
Abdollahpour, Mohammad Reza
[J]. UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS, 2019, 81 (01): : 197 - 208
[19] SOME PROPERTIES OF APPROXIMATELY DUAL CONTINUOUS g-FRAMES IN HILBERT SPACES
Yousefzadeheyni, Azam
Abdollahpour, Mohammad Reza
[J]. UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS, 2020, 82 (04): : 183 - 194
[20] Some properties of approximately dual continuous g-frames in hilbert spaces
Yousefzadeheyni, Azam
Abdollahpour, Mohammad Reza
[J]. UPB Scientific Bulletin, Series A: Applied Mathematics and Physics, 2020, 82 (04): : 183 - 194

← 1 2 3 4 5 →