Compare and contrast between duals of fusion and discrete frames

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...

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Bibliographic Details
Published in:Sahand Communications in Mathematical Analysis
Main Authors: Elnaz Osgooei, Ali akbar Arefijammal
Format: Article
Language:English
Published: University of Maragheh 2017-10-01
Subjects:
Frames
fusion frames
dual fusion frames
Online Access:http://scma.maragheh.ac.ir/article_22412_6e582d16caaf2352781eab207dfc817c.pdf
Description
Summary: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.
ISSN:2322-5807
2423-3900

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