Duals of K-fusion frames

In this paper, we consider the notion of K-fusion frames in Hilbert spaces, which is a new generalization of fusion frames. Our main purpose is to reconstruct the elements from the range of the bounded operator K on a Hilbert space H by using a family of closed subspaces in H. For this end, we introduce the notion of duality for K-fusion frames and characterize duals of some K-fusion frames. Also, we survey the robustness of K-fusion frames under some perturbations

Keywords:

K-fusion frames , K-duals , perturbation