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Erasures and perturbations of g-frames and fusion frames in Hilbert C∗-modules

In this paper, we study the erasures of submodules of a fusion frame in Hilbert C∗-modules and we present some sufficient conditions under which a sequence remains a standard fusion frame after deletion of some submodules. We also introduce a new perturbation for g-frames and fusion frames in Hilbert C∗-modules and it is shown that under some conditions g-frames and fusion frames are stable under this perturbation. We generalize some of the results obtained for perturbations of g-frames and fusion frames, especially we consider perturbations of direct sums, duals and approximate duals of g-frames.