Generalized fusion frames in Hilbert spaces

2018/06/10 by Vahid Sadri, Sadri, Vahid, Gholamreza Rahimlou +5
Engineering · Mathematics · #Advanced Numerical Analysis Techniques #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical Analysis and Transform Methods #Optical Coherence Tomography Applications

paper · pdf · doi:10.48550/arxiv.1806.03598

openalex publication_date 2018/06/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

After introducing g-frames and fusion frames by Sun and Casazza, combining these frames together is an interesting topic for research. In this paper, we introduce the generalized fusion frames or g-fusion frames for Hilbert spaces and give characterizations of these frames from the viewpoint of closed range and g-fusion frame sequences. Also, the canonical dual g-fusion frames are presented and we introduce Parseval g-fusion frames.

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