Acta Mathematica Vietnamica
Search within journal
Volumes and issues
On Stability of G-Frames in Hilbert Pro-C*-Modules
Zahra Ahmadi Moosavi , Akbar Nazaripp. 149-161
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.