duality of $g$-bessel sequences and some results about rip $g$-‎frames

Authors

m. s. asgari

g. kavian

abstract

‎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 results from (b‎. ‎g‎. ‎bodmann et al‎, ‎fusion frames and the restricted isometry property‎, ‎num‎. ‎func‎. ‎anal‎. ‎optim‎. ‎33 (2012) 770-790) to $g$-frame situation‎. ‎finally we study the stability of $g$-frames under erasure of ‎operators.‎

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Journal title:
international journal of industrial mathematics

Publisher: science and research branch, islamic azad university, tehran, iran

ISSN 2008-5621

volume 7

issue 1 2015

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