Excess of a class of g-frames

  • Zang L
  • Sun W
  • Chen D
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Abstract

In this paper, we study the relationship between frames for the super Hilbert space H ⊕ H and g-frames for H with respect to C2. We show that a g-frame associated with a frame for H ⊕ H remains a g-frame whenever any one of its elements is removed. Furthermore, we show that the excess of such a g-frame is at least dim H. © 2008 Elsevier Inc. All rights reserved.

Author-supplied keywords

  • Frames
  • Super Hilbert spaces
  • g-Frames

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