Abstract
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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Khosravi, A., Farmani, M.R. Characteizations of woven g-frames and weaving g-frames in Hilbert spaces and C*-modules. Acta Math Sci 43, 2471–2482 (2023). https://doi.org/10.1007/s10473-023-0609-2
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DOI: https://doi.org/10.1007/s10473-023-0609-2