**Volume 17, Issue 2, pp 220-234**

**Publication Date**: 2017-06-15

http://dx.doi.org/10.22436/jmcs.017.02.04

Farideh Enayati - Department of Mathematics, Faculty of Science, Central Tehran Branch, Islamic Azad University, Tehran, Iran.

Mohammad Sadegh Asgari - Department of Mathematics, Faculty of Science, Central Tehran Branch, Islamic Azad University, Tehran, Iran.

The main aim of this paper is to define the generalized Riesz-dual sequence from a g-Bessel sequence with respect to a pair of g-orthonormal bases. We characterize exactly properties of the first sequence in terms of the associated one, which yields duality relations for the abstract g-frame setting.

g-orthonormal basis, g-frames, g-Riesz-dual sequence, Riesz-duality.

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