Abstract:
Fusion frames, one of the important frame extensions, introduced by Casazza and Kutyniok, Bemros et al. are able to transform the except of weaving from Gabor frames to frame theory; thus weaving frames. In this paper, we generalize the weaving fusion frames and study them from the viewpoint of the finite and infinite dimensional Hilbert spaces. Also, we introduce weakly g-fusion woven frame and show that they are equivalent with the weaving g-fusion frames.