Title of article :
Expansion of Bessel and g-Bessel sequences to dual frames and dual g-frames
Author/Authors :
Asgari, M. S. Department of Mathematics - Faculty of Science - Islamic Azad University, Central Tehran Branch , Kavian, G. Department of Mathematics - Faculty of Science - Islamic Azad University, Central Tehran Branch
Abstract :
In this paper we study the duality of Bessel and g-Bessel sequences in Hilbert
spaces. We show that a Bessel sequence is an inner summand of a frame and the sum of any Bessel sequence with Bessel bound less than one with a Parseval frame is a frame. Next we develop this results to the g-frame situation.
Keywords :
G-frames , dual frames , dual g-frames
Journal title :
Astroparticle Physics
