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arXiv · 1806.03598

Generalized fusion frames in Hilbert spaces

Vahid Sadri·Gholamreza Rahimlou·Reza Ahmadi·Ramazan Zarghami
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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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Vahid Sadri, Gholamreza Rahimlou, Reza Ahmadi, Ramazan Zarghami. 2018-06-10. Generalized fusion frames in Hilbert spaces. https://arxiv.org/abs/1806.03598

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