فهرست مقالات $g$-frame

• دسترسی آزاد مقاله
  • صفحه چکیده
  • متن کامل
  
  1 - Duality of $g$-Bessel sequences and some results about RIP $g$-‎frames
  M. S. Asgari G. Kavian
  ‎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& چکیده کامل

  ‎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.‎ پرونده مقاله
• دسترسی آزاد مقاله
  • صفحه چکیده
  • متن کامل
  
  2 - On the frames in Hilbert $C^{\ast}$-modules
  M. Rossafi M. Ghiati M. Mouniane
  10.30495/jlta.2023.1979703.1536
  Frame theory has been rapidly generalized and various generalizations have been developed. In this paper, we present a brief survey of the frames in Hilbert $C^{\ast}$-modules, including frames, $\ast$-frames, g-frames, $\ast$-g-frames, $\ast$-$K$-$g$-frame, operator fr چکیده کامل

  Frame theory has been rapidly generalized and various generalizations have been developed. In this paper, we present a brief survey of the frames in Hilbert $C^{\ast}$-modules, including frames, $\ast$-frames, g-frames, $\ast$-g-frames, $\ast$-$K$-$g$-frame, operator frame and $\ast$-$K$-operator frame in Hilbert $C^{\ast}$-modules. Various proofs are given for some results. We will also provide some new results. Moreover, non-trivial examples are presented. پرونده مقاله