Controlled continuous g-frames and their duals in Hilbert spaces

2022/09/25 by Mohamed Rossafi, Rossafi, Mohamed, Fakhr-dine Nhari +3
Mathematics · Medicine · #41A58 #42C15 #FOS: Mathematics #Functional Analysis (math.FA) #Glaucoma and retinal disorders #Mathematical Analysis and Transform Methods

paper · pdf · doi:10.48550/arxiv.2210.13211

openalex publication_date 2022/09/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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