M. S. Asgari

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

[ 1 ] - Duality of $g$-Bessel sequences and some results about RIP $g$-‎frames

‎In this paper‎, ‎first we develop the duality concept for $g$-Bessel sequences‎ ‎and Bessel fusion sequences in Hilbert spaces‎. ‎We obtain some results about dual‎, ‎pseudo-dual ‎and approximate dual of frames and fusion frames‎. ‎We also expand every $g$-Bessel ‎sequence to a frame by summing some elements‎. ‎We define the restricted isometry property for ‎$g$-frames and generalize some resu...

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