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arXiv · 2212.08940

On The Frames In Hilbert $C^{\ast}$-modules

M'hamed Ghiati·Mohammed Mouniane·Mohamed Rossafi
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Abstract

Frame theory has been rapidly generalized and various generalizations have been developed. In this paper, we present a brief survey of the frames in Hilbert $C^{\ast}$-modules, including frames, $\ast$-frames, g-frames, $\ast$-g-frames, $\ast$-$K$-g-frame, operator frame and $\ast$-$K$-operator in Hilbert $C^{\ast}$-modules. Various proofs are given for some results. Also, we prove some new results. Moreover, non-trivial examples are presented.

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BibTeXRIS

M'hamed Ghiati, Mohammed Mouniane, Mohamed Rossafi. 2022-12-17. On The Frames In Hilbert $C^{\ast}$-modules. https://arxiv.org/abs/2212.08940

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