Controlled g-fusion frame in Hilbert space

被引：0
|
作者：
Liu, Hanbing [1 ]
Huang, Yongdong [1 ,2 ]
Zhu, Fengjuan [1 ]
机构：
[1] North Minzu Univ, Sch Math & Informat Sci, Yinchuan 750021, Ningxia, Peoples R China
[2] DaLian Minzu Univ, Sch Sci, Dalian 116600, Peoples R China
来源：
INTERNATIONAL JOURNAL OF WAVELETS MULTIRESOLUTION AND INFORMATION PROCESSING | 2021年 / 19卷 / 05期
基金：
中国国家自然科学基金;
关键词：
Fusion frame; controlled g-fusion frame; frame operator; Gram matrix;
D O I：
10.1142/S0219691321500090
中图分类号：
TP31 [计算机软件];
学科分类号：
081202 ; 0835 ;
摘要：
Fusion frame is a generalization of frame, which can analyze signals by projecting them onto multidimensional subspaces. Controlled fusion frame as generalization of fusion frame, it can improve the numerical efficiency of iterative algorithms for inverting the fusion frame operators. In this paper, we first introduce the notion of controlled g-fusion frame, discuss several properties of controlled g-fusion Bessel sequence. Then, we present some sufficient conditions and some characterizations of controlled g-fusion frames. Finally, we study the sum of controlled g-fusion frames.
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页数：18
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