Characteizations of woven g-frames and weaving g-frames in Hilbert spaces and C*-modules

被引：0
|
作者：
Amir Khosravi
Mohammad Reza Farmani
机构：
[1] Kharazmi University,Faculty of Mathematical Sciences and Computer
来源：
Acta Mathematica Scientia | 2023年 / 43卷
关键词：
g-frame; fusion frame; woven frame; Riesz basis; g-Riesz basis; 46L99; 42C15; 46H25;
D O I：
暂无
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学科分类号：
摘要：
In this paper, using Parseval frames we generalize Sun’s results to g-frames in Hilbert C*-modules. Moreover, for g-frames in Hilbert spaces, we present some characterizations in terms of a family of frames, not only for orthonormal bases. Also, we have a note about a comment and a relation in the proof of Proposition 5.3 in [D. Li et al., On weaving g-frames for Hilbert spaces, Complex Analysis and Operator Theory, 2020]. Finally, we have some results for g-Riesz bases, woven and P-woven g-frames.
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页码：2471 / 2482
页数：11
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