Woven (Weaving) Frames in Banach Spaces
Kragujevac Journal of Mathematics, Tome 48 (2024) no. 2, p. 181
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Banach frames are defined by the straightforward generalization of Hilbert space frames. Woven (weaving) frames are the recent generalization of standard frames which appeared in the applications of distributed signal processing. In this paper, we introduce the concepts of woven (weaving) Bessel and frame sequences in Banach spaces and characterize the woven frames in terms of bounded operators. We also give some equivalent conditions for woven $X_d$-frame in Banach spaces.
Classification :
42C15
Keywords: frame, woven frame, Banach frame, semi-inner product
Keywords: frame, woven frame, Banach frame, semi-inner product
@article{KJM_2024_48_2_a1,
author = {Asghar Rahimi and Sara Basati and Bayaz Daraby and Firdous A. Shah},
title = {Woven {(Weaving)} {Frames} in {Banach} {Spaces}},
journal = {Kragujevac Journal of Mathematics},
pages = {181 },
year = {2024},
volume = {48},
number = {2},
language = {en},
url = {http://geodesic.mathdoc.fr/item/KJM_2024_48_2_a1/}
}
Asghar Rahimi; Sara Basati; Bayaz Daraby; Firdous A. Shah. Woven (Weaving) Frames in Banach Spaces. Kragujevac Journal of Mathematics, Tome 48 (2024) no. 2, p. 181 . http://geodesic.mathdoc.fr/item/KJM_2024_48_2_a1/