STABILITY OF G-FRAMES, APPROXIMATE DUALS AND RESOLUTIONS OF THE IDENTITY IN HILBERT C*-MODULES

In this paper, we consider the stability of g-frames and some concepts related to g-frames on Hilbert C*-modules, such as approximate duals and (a, m)-approximate duals, under different kinds of perturbations. We also obtain some results for the perturbations of fusion frames and resolutions of the identity in Hilbert C*-modules. Moreover, some new resolutions of the identity are constructed using morphisms of Hilbert C*-modules.