G-Frames, Fusion Frames and the Restricted Isometry Property

被引:0
|
作者
Asgari, Mohammad Sadegh [1 ]
Kavian, Golsa [2 ]
机构
[1] Islamic Azad Univ, Cent Tehran Branch, Dept Math, Fac Sci, Tehran, Iran
[2] Islamic Azad Univ, Roudehen Branch, Dept Math & Stat, Roudehen, Iran
来源
THAI JOURNAL OF MATHEMATICS | 2020年 / 18卷 / 02期
关键词
g-frame; fusion frame; restricted isometry property;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper we study the restricted isometry property for g-frames, we will show how to use tight g-frames that have the restricted isometry property to construct fusion frames. We also study the conditions which under removing some element from a g-frame, again we obtain another g-frame so that Theorem 4.3 obtained in [M.S. Asgari, On the stability of fusion frames (frames of subspaces), Acta Math. Sci. (Ser. B) 31 (4) (2011) 1633-1642] is a special case of it.
引用
收藏
页码:703 / 713
页数:11
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