Geodesic
Weighted Riesz bases in g-fusion frames and their perturbation
Problemy analiza, Tome 9 (2020) no. 1, pp. 110-127

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In this paper, we introduce orthonormal and Riesz bases for g-fusion frames and show that the weights have basic roles. Next, we prove an effective theorem between frames and g-fusion frames by using an operator. Finally, perturbations of g-fusion frames will be presented.
Keywords: g-fusion frame, Dual g-fusion frame, gf-complete, gf-orthonormal basis, gf-Riesz basis. 
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     author = {G. Rahimlou and V. Sadri and R. Ahmadi},
     title = {Weighted {Riesz} bases in g-fusion frames and their perturbation},
     journal = {Problemy analiza},
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     publisher = {mathdoc},
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     number = {1},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PA_2020_9_1_a8/}
}
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G. Rahimlou; V. Sadri; R. Ahmadi. Weighted Riesz bases in g-fusion frames and their perturbation. Problemy analiza, Tome 9 (2020) no. 1, pp. 110-127. http://geodesic.mathdoc.fr/item/PA_2020_9_1_a8/