On the Riesz fusion bases in Hilbert spaces

In this paper we investigate the connection between fusion frames and obtain a relation between indexes of the synthesis operators of a Besselian fusion frame and associated frame to it. Next we introduce a new notion of a Riesz fusion bases in a Hilbert space. We show that any Riesz fusion basis is...

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Bibliographic Details
Main Author: Mohammad Sadegh Asgari
Format: Article
Language:English
Published: SpringerOpen 2013-07-01
Series:Journal of the Egyptian Mathematical Society
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S1110256X12000612