2024/01/01 by Hafida Massit, Massit, Hafida, Mohamed Rossafi +3
Mathematics · #41A58 #42C15 #46L05 #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical Analysis and Transform Methods
paper · pdf · doi:10.48550/arxiv.2401.00969
openalex publication_date 2024/01/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Recently, Bemrose et al. \citeBE developed a theory of weaving frames, which was motivated by a problem regarding distributed signal processing. In this present article, we introduce the atomic g-system and we generalize some of the known results in continuous L-frames, weaving continuous and weaving continuous g-frames, also we study weaving continuous L-g-frames in Hilbert spaces. Moreover, we study the behaviour continuous L-g-frames under some perturbations, and we show that approximate L-duals are stable under small perturbation and that it is possible to remove some elements of a woven continuous L-g-frame and still have a woven continuous L-g-frame.