Some properties of C-fusion frames

Authors: MOHAMMAD HASAN FAROUGHI, REZA AHMADI

Abstract: In [10], we generalized the concept of fusion frames, namely, c-fusion frames, which is a continuous version of the fusion frames. In this article we give some important properties about the generalization, namely erasures of subspaces, the bound of c-erasure reconstruction error for Parseval c-fusion frames, perturbation of c-fusion frames and the frame operator for fusion pair.

Keywords: Operator, Hilbert space, Bessel, Frame, Fusion frame, c-fusion frame

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