Excess of a class of g-frames

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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.

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Zang, L., Sun, W., & Chen, D. (2009). Excess of a class of g-frames. Journal of Mathematical Analysis and Applications, 352(2), 711–717. https://doi.org/10.1016/j.jmaa.2008.11.030

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