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On Stability of G-Frames in Hilbert Pro-C*-Modules
Zahra Ahmadi Moosavi
,
Akbar Nazari
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-Riesz bases in Hilbert pro-C*-modules. Finally, we derive some characterizations of g-frames in Hilbert pro-C*-modules.