Geodesic
Weaving $g$-Frames for Operators
Kragujevac Journal of Mathematics, Tome 49 (2025) no. 2, p. 167

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Bemrose et al. introduced weaving frames and later, Deepshikha et al. generalized them to weaving $K$-frames. In this note, as a generalization of these notions, we introduce approximate $K$-duals and investigate the properties of $K$-$g$-frames and weaving $K$-$g$-frames. We show that woven $K$-$g$-frames and weakly woven $K$-$g$-frames coincide. We also study perturbation and erasure of woven $K$-$g$-frames and we show that they are stable under small perturbations. Also we generalize some of the known results in frame theory to $K$-$g$-frames and weaving $K$-$g$-frames.
Classification : 42C15
Keywords: K-frame, g-frame, weaving K-g-frame, perturbation 
A. Khosravi; J. S. Banyarani. Weaving $g$-Frames for Operators. Kragujevac Journal of Mathematics, Tome 49 (2025) no. 2, p. 167 . http://geodesic.mathdoc.fr/item/KJM_2025_49_2_a0/
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     author = {A. Khosravi and J. S. Banyarani},
     title = {Weaving $g${-Frames} for {Operators}},
     journal = {Kragujevac Journal of Mathematics},
     pages = {167 },
     year = {2025},
     volume = {49},
     number = {2},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KJM_2025_49_2_a0/}
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