On stability of G-frames in Hilbert Pro-C*-Modules

Abstract

In this paper, we extend the basic stability theorem for frames in Hilbert C*-modules to g-frames in Hilbert pro-C*- modules. We also extend the Casazza-Christensen perturbation theorem to g-frames in Hilbert pro-C*-modules and show that the Casazza-Christensen theorem is not valid for g-Riosz bases in Hilbert pro-C*-modules. Finally, we derive some characterizations of g-frames in Hilbert pro-C*-inodules.