فهرس المقالات G-frames

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  1 - Bessel multipliers on the tensor product of Hilbert $C^\ast-$‎ modules‎
  M. Mirzaee ‎Azandaryani
  In this paper, we first show that the tensor product of a finite number of standard g-frames (resp. fusion frames, frames) is a standard g-frame (resp. fusion frame, frame) for the tensor product of Hilbert $C^\ast-$ modules and vice versa, then we consider tensor produ أکثر

  In this paper, we first show that the tensor product of a finite number of standard g-frames (resp. fusion frames, frames) is a standard g-frame (resp. fusion frame, frame) for the tensor product of Hilbert $C^\ast-$ modules and vice versa, then we consider tensor products of g-Bessel multipliers, Bessel multipliers and Bessel fusion multipliers in Hilbert $C^\ast-$modules. Moreover, we obtain some results for the tensor product of duals using Bessel ‎multipliers.‎ تفاصيل المقالة
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  2 - G-frames in Hilbert Modules Over Pro-C*-‎algebras
  N. Haddadzadeh‎‎
  G-frames are natural generalizations of frames which provide more choices on analyzing functions from frame expansion coefficients. First, they were defined in Hilbert spaces and then generalized on C*-Hilbert modules. In this paper, we first generalize the concept of g أکثر

  G-frames are natural generalizations of frames which provide more choices on analyzing functions from frame expansion coefficients. First, they were defined in Hilbert spaces and then generalized on C*-Hilbert modules. In this paper, we first generalize the concept of g-frames to Hilbert modules over pro-C*-algebras. Then, we introduce the g-frame operators in such spaces and show that they share many useful properties with their corresponding notions in Hilbert spaces. We also show that, by having a g-frame and an invertible operator in this spaces, we can produce the corresponding dual g-frame. Finally we introduce the canonical dual g-frames and provide a reconstruction formula for the elements of such Hilbert ‎modules.‎ تفاصيل المقالة
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  3 - G-Frames, g-orthonormal bases and g-Riesz bases
  S. S. Karimizad
  G-Frames in Hilbert spaces are a redundant set of operators which yield a representation for each vector in the space. In this paper we investigate the connection betweeng-frames, g-orthonormal bases and g-Riesz bases. We show that a family of bounded operators is a g-B أکثر

  G-Frames in Hilbert spaces are a redundant set of operators which yield a representation for each vector in the space. In this paper we investigate the connection betweeng-frames, g-orthonormal bases and g-Riesz bases. We show that a family of bounded operators is a g-Bessel sequences if and only if the Gram matrix associated to its denes a boundedoperator. تفاصيل المقالة
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  4 - Expansion of Bessel and g-Bessel sequences to dual frames and dual g-frames
  M. S. Asgari G. Kavian
  In this paper we study the duality of Bessel and g-Bessel sequences in Hilbertspaces. We show that a Bessel sequence is an inner summand of a frame and the sum of anyBessel sequence with Bessel bound less than one with a Parseval frame is a frame. Next wedevelop this re أکثر

  In this paper we study the duality of Bessel and g-Bessel sequences in Hilbertspaces. We show that a Bessel sequence is an inner summand of a frame and the sum of anyBessel sequence with Bessel bound less than one with a Parseval frame is a frame. Next wedevelop this results to the g-frame situation. تفاصيل المقالة