Some new properties of g-frame in Hilbert C*-modules

Mohamed Rossafi; Hatim Labrigui

doi:10.20956/j.v18i3.20288

Authors

Mohamed Rossafi Faculty of Sciences, Dhar El Mahraz University Sidi Mohamed Ben Abdellah, Fes,
Hatim Labrigui

DOI:

https://doi.org/10.20956/j.v18i3.20288

Keywords:

Frame, modular Riesz basis, modular $g$-Riesz basis, $C^{\ast}$-algebra, Hilbert $\mathcal{A}$-modules

Abstract

The theory of frames which appeared in the last half of the century, has been generalized rapidly and various generalizations of frames in Hilbert spaces and Hilbert $C^{\ast}$-modules. In this paper, we will give some new properties of modular Riesz basis and modular $g$-Riesz basis that present a generalization of the results established in a Hilbert space.

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References

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