On weaving g-frames for Hilbert spaces
Abstract
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.
Keywords
Cite
@article{arxiv.1709.05154,
title = {On weaving g-frames for Hilbert spaces},
author = {Dongwei Li and Jinsong Leng and Tingzhu Huang and Xiaoping Li},
journal= {arXiv preprint arXiv:1709.05154},
year = {2017}
}
Comments
Part of the argument is wrong. arXiv admin note: text overlap with arXiv:1503.03947 by other authors