Controlled continuous $g$-frames and their duals in Hilbert spaces

Mohamed Rossafi; Fakhr-dine Nhari; P. Sam Johnson

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arXiv · 2210.13211

Controlled continuous $g$-frames and their duals in Hilbert spaces

Mohamed Rossafi·Fakhr-dine Nhari·P. Sam Johnson

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Abstract

In this paper, we characterize and study the concept of controlled continuous $g$-frame which is an extension of continuous $g$-frame in Hilbert spaces. We introduce the concept of controlled continuous dual $g$-frame and observe some interesting properties of it. Finally, we characterize all controlled continuous dual $g$-frames of a controlled continuous $g$-frame.

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BibTeX RIS

Mohamed Rossafi, Fakhr-dine Nhari, P. Sam Johnson. 2022-09-25. Controlled continuous $g$-frames and their duals in Hilbert spaces. https://arxiv.org/abs/2210.13211

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