On Weaving g-Frames for Hilbert Spaces

被引：2
作者：
Dongwei Li
Jinsong Leng
Tingzhu Huang
Xiaoping Li
机构：
[1] Hefei University of Technology,School of Mathematics
[2] University of Electronic Science and Technology of China,School of Mathematical Sciences
来源：
Complex Analysis and Operator Theory | 2020年 / 14卷
关键词：
Frame; g-Frames; g-Riesz basis; Perturbation; Primary 42C15; Secondary 42C30; 41A45;
D O I：
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学科分类号：
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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