Generalized fusion frames in Hilbert spaces
Functional Analysis
2018-06-12 v1
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.
Keywords
Cite
@article{arxiv.1806.03598,
title = {Generalized fusion frames in Hilbert spaces},
author = {Vahid Sadri and Gholamreza Rahimlou and Reza Ahmadi and Ramazan Zarghami},
journal= {arXiv preprint arXiv:1806.03598},
year = {2018}
}