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.
Amir KHOSRAVI
,
Mohammad Reza FARMANI
. CHARACTEIZATIONS OF WOVEN g-FRAMES AND WEAVING g-FRAMES IN HILBERT SPACES AND C*-MODULES*[J]. Acta mathematica scientia, Series B, 2023
, 43(6)
: 2471
-2482
.
DOI: 10.1007/s10473-023-0609-2
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