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Paper Information

Journal:   INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS   WINTER 2015 , Volume 7 , Number 1; Page(s) 51 To 61.
 
Paper: 

DUALITY OF G-BESSEL SEQUENCES AND SOME RESULTS ABOUT RIP G-FRAMES

 
 
Author(s):  ASGARI M.S.*, KAVIAN G.
 
* DEPARTMENT OF MATHEMATICS, FACULTY OF SCIENCE, ISLAMIC AZAD UNIVERSITY, CENTRAL TEHRAN BRANCH, TEHRAN, IRAN
 
Abstract: 

In this paper, first we develop the duality concept for g-Bessel sequences and Bessel fusion sequences in Hilbert spaces. We obtain some results about dual, pseudo-dual and approximate dual of frames and fusion frames. We also expand every g-Bessel sequence to a frame by summing some elements.
We de ne the restricted isometry property for g-frames and generalize some results from (B. G.
Bodmann et al, Fusion frames and the restricted isometry property, Num. Func. Anal. Optim.33 (2012) 770-790) to g-frame situation. Finally we study the stability of g-frames under erasure of operators.

 
Keyword(s): G-FRAMES, FUSION FRAMES, DUAL FRAMES, PSEUDO-DUAL FRAMES, APPROXIMATE DUAL FRAMES, BESSEL SEQUENCES
 
 
References: 
 
Citations: 
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APA: Copy

ASGARI, M., & KAVIAN, G. (2015). DUALITY OF G-BESSEL SEQUENCES AND SOME RESULTS ABOUT RIP G-FRAMES. INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS, 7(1), 51-61. https://www.sid.ir/en/journal/ViewPaper.aspx?id=427750



Vancouver: Copy

ASGARI M.S., KAVIAN G.. DUALITY OF G-BESSEL SEQUENCES AND SOME RESULTS ABOUT RIP G-FRAMES. INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS. 2015 [cited 2021October19];7(1):51-61. Available from: https://www.sid.ir/en/journal/ViewPaper.aspx?id=427750



IEEE: Copy

ASGARI, M., KAVIAN, G., 2015. DUALITY OF G-BESSEL SEQUENCES AND SOME RESULTS ABOUT RIP G-FRAMES. INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS, [online] 7(1), pp.51-61. Available: https://www.sid.ir/en/journal/ViewPaper.aspx?id=427750.



 
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