Duality of g-Bessel sequences and some results about RIP g-frames
عنوان مقاله: Duality of g-Bessel sequences and some results about RIP g-frames
شناسه ملی مقاله: JR_IJIM-7-1_006
منتشر شده در در سال 1394
شناسه ملی مقاله: JR_IJIM-7-1_006
منتشر شده در در سال 1394
مشخصات نویسندگان مقاله:
M. S. Asgari - Department of Mathematics, Faculty of Science, Islamic Azad University, Central Tehran Branch, Tehran, Iran.
G. Kavian - Department of Mathematics, Faculty of Science, Islamic Azad University, Roudehen Branch, Roudehen, Iran.
خلاصه مقاله:
M. S. Asgari - Department of Mathematics, Faculty of Science, Islamic Azad University, Central Tehran Branch, Tehran, Iran.
G. Kavian - Department of Mathematics, Faculty of Science, Islamic Azad University, Roudehen Branch, Roudehen, Iran.
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. ۳۳ (۲۰۱۲) ۷۷۰-۷۹۰) to g-frame situation. Finally we study the stability of g-frames under erasure of operators.
کلمات کلیدی: G-frames, Fusion frames, Dual frames, Pseudo-dual frames, Approximate dual frames, Bessel sequences
صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/1887389/