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arXiv · 2402.02291

Construction of continuous K-g-Frames in Hilbert $C^{\ast}$-Modules

Abdelilah Karara·Mohamed Rossafi·Mohammed Klilou·Samir Kabbaj
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Abstract

In this work, we provide some constructions and the sum of new continuous K-g-frames in Hilbert$C^{\ast}$-Modules. We provide certain necessary and sufficient conditions for some adjointable operators on $\mathcal{H}$, under which new continuous K-g-frames can be retrieved from those that already exist. Additionally, we discuss the sum of continuous K-g-frames, discover some of their characterizations, and offer some adjointable operators to construct new continuous K-g-frames from the previous ones.

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Abdelilah Karara, Mohamed Rossafi, Mohammed Klilou, Samir Kabbaj. 2024-02-03. Construction of continuous K-g-Frames in Hilbert $C^{\ast}$-Modules. https://arxiv.org/abs/2402.02291

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