Geodesic
On the generalized Riesz-dual sequences in Hilbert spaces
Eurasian mathematical journal, Tome 8 (2017) no. 4, pp. 45-54

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In this paper we define the generalized Riesz-dual sequence from a g-Bessel sequence with respect to a pair of g-orthonormal bases as a generalization of the Riesz-dual sequence. We characterize exactly properties of the first sequence in terms of the associated one, which yields duality relations for the abstract g-frame setting. 
@article{EMJ_2017_8_4_a5,
     author = {F. Enayati and M. S. Asgari},
     title = {On the generalized {Riesz-dual} sequences in {Hilbert} spaces},
     journal = {Eurasian mathematical journal},
     pages = {45--54},
     publisher = {mathdoc},
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     number = {4},
     year = {2017},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EMJ_2017_8_4_a5/}
}
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F. Enayati; M. S. Asgari. On the generalized Riesz-dual sequences in Hilbert spaces. Eurasian mathematical journal, Tome 8 (2017) no. 4, pp. 45-54. http://geodesic.mathdoc.fr/item/EMJ_2017_8_4_a5/