Robustness of fusion frames in Hilbert $C^{*}$−modules under Erasures of submodules

In this paper, we obtain some results for the erasures of submodules of a fusion frame (especially tight, Parseval and $\epsilon$−nearly Parseval fusion frames) in Hilbert $C^{*}$−modules and we show that under some conditions a standard fusion frame is stable under deletion of some submodules. We show that robustness of a standard fusion frame under erasures of submodules is related to the sequence of its weights