duality of $g$-bessel sequences and some results about rip $g$-frames
نویسندگان
چکیده
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.
منابع مشابه
Duality of $g$-Bessel sequences and some results about RIP $g$-frames
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عنوان ژورنال:
international journal of industrial mathematicsناشر: science and research branch, islamic azad university, tehran, iran
ISSN 2008-5621
دوره 7
شماره 1 2015
میزبانی شده توسط پلتفرم ابری doprax.com
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