Duality and biorthogonality for g-frames in Hilbert spaces


Authors

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.


Abstract

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.


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ISRP Style

Farideh Enayati, Mohammad Sadegh Asgari, Duality and biorthogonality for g-frames in Hilbert spaces, Journal of Mathematics and Computer Science, 17 (2017), no. 2, 220-234

AMA Style

Enayati Farideh, Asgari Mohammad Sadegh, Duality and biorthogonality for g-frames in Hilbert spaces. J Math Comput SCI-JM. (2017); 17(2):220-234

Chicago/Turabian Style

Enayati, Farideh, Asgari, Mohammad Sadegh. "Duality and biorthogonality for g-frames in Hilbert spaces." Journal of Mathematics and Computer Science, 17, no. 2 (2017): 220-234


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