English

Compare and contrast between duals of fusion and discrete frames

Functional Analysis 2016-05-06 v2

Abstract

Fusion frames are valuable generalizations of discrete frames. Most concepts of fusion frames are shared by discrete frames. However, the dual setting is so complicated. In particular, unlike discrete frames, two fusion frames are not dual of each other in general. In this paper, we investigate the structure of the duals of fusion frames and discuss the relation between the duals of fusion frames with their associated discrete frames.

Keywords

Cite

@article{arxiv.1605.01045,
  title  = {Compare and contrast between duals of fusion and discrete frames},
  author = {Elnaz Osgooei and Ali Akbar Arefijamaal},
  journal= {arXiv preprint arXiv:1605.01045},
  year   = {2016}
}

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12 pages