On Weaving g-Frames for Hilbert Spaces

被引：10
|
作者：
Li, Dongwei [1 ]
Leng, Jinsong [2 ]
Huang, Tingzhu [2 ]
Li, Xiaoping [2 ]
机构：
[1] Hefei Univ Technol, Sch Math, Hefei 230009, Anhui, Peoples R China
[2] Univ Elect Sci & Technol China, Sch Math Sci, Chengdu 611731, Sichuan, Peoples R China
来源：
COMPLEX ANALYSIS AND OPERATOR THEORY | 2020年 / 14卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Frame; g-Frames; g-Riesz basis; Perturbation; OPTIMAL DUAL FRAMES;
D O I：
10.1007/s11785-020-00991-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Weaving frames are powerful tools in wireless sensor networks and pre-processing signals. In this paper, we introduce the concept of weaving for g-frames in Hilbert spaces. We first give some properties of weaving g-frames and present two necessary conditions in terms of frame bounds for weaving g-frames. Then we study the properties of weakly woven g-frames and give a sufficient condition for weaving g-frames. It is shown that weakly woven is equivalent to woven. Two sufficient conditions for weaving g-Riesz bases are given. And a weaving equivalent of an unconditional g-basis for weaving g-Riesz bases is considered. Finally, we present Paley-Wiener-type perturbation results for weaving g-frames.
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收藏
页数：25
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