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Ultra g-Bessel Sequences in Hilbert Spaces
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  • Journal title : Kyungpook mathematical journal
  • Volume 54, Issue 1,  2014, pp.87-94
  • Publisher : Department of Mathematics, Kyungpook National University
  • DOI : 10.5666/KMJ.2014.54.1.87
 Title & Authors
Ultra g-Bessel Sequences in Hilbert Spaces
Abdollahpour, Mohammad Reza; Najati, Abbas;
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 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;
 Language
English
 Cited by
 References
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.
M. R. Abdollahpour and A. Najati, Besselian G-frames and near G-Riesz bases, Appl. Anal. Discrete Math., 5(2)(2011), 259-270. crossref(new window)

4.
M. R. Abdollahpour and A. Najati, G-frames and Hilbert-Schmidt operators, Bull. Iranian Math. Soc., 37(4)(2011), 141-155.

5.
M. H. Faroughi and A. Najati, Ultra Bessel Sequences in Hilbert Spaces, Southeast Asian Bull. Math., 32(2008), 425-436.

6.
A. Khosravi, and B. khosravi, Fusion frames and g-frames in Hilber $C*$-modules, Int. J. Wavelets Multiresolut. Inf. Process., 6(2008), 433-446. crossref(new window)

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. crossref(new window)