Paper Information

Title: 

ON THE STABILITY OF FUSION FRAMES UNDER OPERATORS

Type: PAPER
Author(s): ASGARI M.S.*
 
 *DEPARTMENT OF MATHEMATICS, ISLAMIC AZAD UNIVERSITY CENTRAL TEHRAN BRANCH
 
Name of Seminar: SEMINAR ON MATHEMATICAL ANALYSIS AND ITS APPLICATIONS (SMAA18)
Type of Seminar:  CONFERENCE
Sponsor:  FACULTY OF MATHEMATICAL SCIENCES AND COMPUTER, TARBIAT MOALLEM UNIVERSITY
Date:  2009Volume 18
 
 
Abstract: 

In this article, we study the relationship between operators and fusion frames for a separable Hilbert space H. We show that each fusion frame is the image of an orthonormal fusion basis under a bounded surjective operator. Furthermore we study the behavior of fusion frames under a bounded linear operator with closed range.

 
Keyword(s): EXACT FUSION FRAME, ORTHONORMAL FUSION BASIS, PSEUDOINVERSES
 
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