Perturbations of Generalized gframe in Hilbert C*modules

Abstract:

The stability of the Hilbert C* modular generalized g frames under some perturbations was studied to see whether the family will become a generalized g frame under some perturbations related to the fixed frame. Similar to the Hilbert space, three different situations and respective conclusions were proposed, which were proved by using operator theoretic methods. Besides, the stability of the generalized dual g frame was discussed.