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http://dx.doi.org/10.5666/KMJ.2014.54.1.87

Ultra g-Bessel Sequences in Hilbert Spaces  

Abdollahpour, Mohammad Reza (Department of Mathematics, Faculty of Mathematical Sciences, University of Mohaghegh Ardabili)
Najati, Abbas (Department of Mathematics, Faculty of Mathematical Sciences, University of Mohaghegh Ardabili)
Publication Information
Kyungpook Mathematical Journal / v.54, no.1, 2014 , pp. 87-94 More about this Journal
Abstract
In this paper, we introduce ultra g-Bessel sequences and study some properties of this kind of sequences in Hilbert spaces. We also show that every g-frame for a finite dimensional Hilbert space is an ultra g-Bessel sequence.
Keywords
g-Bessel sequence; g-frames; ultra g-Bessel sequence;
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1 M. R. Abdollahpour and M. H. Faroughi, Continuous g-frames in Hilbert spaces, Southeast Asian Bull. Math., 32(2008), 1-19.
2 M. R. Abdollahpour, M. H. Faroughi and A. Rahimi, pg-frames in Banach spaces, Methods Funct. Anal. Topology, 13(3)(2007), 201-210.
3 A. Khosravi, and B. khosravi, Fusion frames and g-frames in Hilber $C*$-modules, Int. J. Wavelets Multiresolut. Inf. Process., 6(2008), 433-446.   DOI   ScienceOn
4 M. R. Abdollahpour and A. Najati, Besselian G-frames and near G-Riesz bases, Appl. Anal. Discrete Math., 5(2)(2011), 259-270.   DOI   ScienceOn
5 M. R. Abdollahpour and A. Najati, G-frames and Hilbert-Schmidt operators, Bull. Iranian Math. Soc., 37(4)(2011), 141-155.
6 M. H. Faroughi and A. Najati, Ultra Bessel Sequences in Hilbert Spaces, Southeast Asian Bull. Math., 32(2008), 425-436.
7 A. Najati, M.H. Faroughi and A. Rahimi, G-frames and stability of g-frames in Hilbert spaces, Methods Funct. Anal. Topology, 4(2008), 271-286.
8 W. Sun, G-frames and g-Riesz bases, J. Math. Anal. Appl., 322(2006), 437-452.   DOI   ScienceOn