On Stability of G-Frames in Hilbert Pro-C∗-Modules
Acta Mathematica Vietnamica - 2021
Tóm tắt
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.
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Tài liệu tham khảo
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