Generalized fusion frames in Hilbert spaces

Generalized fusion frames in Hilbert spaces

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 clos...

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Hauptverfasser: Sadri, Vahid, Rahimlou, Gholamreza, Ahmadi, Reza, Zarghami, Ramazan
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Ahmadi, Reza
Zarghami, Ramazan
description 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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title Generalized fusion frames in Hilbert spaces
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