M'hamed Ghiati, Mohammed Mouniane, Mohamed Rossafi
Published 2022-12-17Version 1
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.
Comments: arXiv admin note: text overlap with arXiv:1806.03993
Operator frame for $Hom_{\mathcal{A}}^{\ast}(\mathcal{X})$
$\ast$-Operator frame for $Hom_{\mathcal{A}}^{\ast}(\mathcal{X})$
Perturbation and stability of operator frame for $End_{\mathcal{A}}^{\ast}(\mathcal{H})$
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