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Construction of g-fusion frames in Hilbert spaces
Infinite Dimensional Analysis, Quantum Probability and Related Topics ( IF 0.6 ) Pub Date : 2020-09-24 , DOI: 10.1142/s0219025720500150
Vahid Sadri 1 , Gholamreza Rahimlou 1 , Reza Ahmadi 2 , Ramazan Zarghami Farfar 3
Affiliation  

After introducing g-frames and fusion frames by Sun and Casazza, respectively, 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 a Parseval g-fusion frame.

中文翻译:

在 Hilbert 空间中构建 g 融合框架

在 Sun 和 Casazza 分别介绍了 g-frames 和 fusion frames 之后,将这些帧组合在一起是一个有趣的研究课题。在本文中,我们介绍了希尔伯特空间的广义融合框架或 g 融合框架,并从封闭范围和 g 融合框架序列的角度给出了这些框架的特征。此外,还提出了规范的双 g 融合框架,我们引入了 Parseval g 融合框架。
更新日期:2020-09-24
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