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

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...

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Bibliographic Details
Published in:Acta mathematica scientia 2023-11, Vol.43 (6), p.2471-2482
Main Authors: Khosravi, Amir, Farmani, Mohammad Reza
Format: Article
Language:English
Subjects:
Analysis
Mathematics
Mathematics and Statistics
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Summary: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.
ISSN:0252-9602
1572-9087
DOI:10.1007/s10473-023-0609-2