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Ultra g-Bessel Sequences in Hilbert Spaces
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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.
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.
참고문헌 (8)
- M. R. Abdollahpour, "Continuous g-frames in Hilbert spaces", Southeast Asian Bull. Math, 32, pp.1~19 (2008)
- M. R. Abdollahpour, "pg-frames in Banach spaces", Methods Funct. Anal. Topology, 13(3), pp.201~210 (2007)
- M. R. Abdollahpour, "Besselian G-frames and near G-Riesz bases", Appl. Anal. Discrete Math., 5(2), pp.259~270 (2011)
- M. R. Abdollahpour, "G-frames and Hilbert-Schmidt operators", Bull. Iranian Math. Soc., 37(4), pp.141~155 (2011)
- M. H. Faroughi, "Ultra Bessel Sequences in Hilbert Spaces", Southeast Asian Bull. Math., 32, pp.425~436 (2008)
- A. Khosravi, "Fusion frames and g-frames in Hilber C*-modules", Int. J. Wavelets Multiresolut. Inf. Process., 6, pp.433~446 (2008)
- A. Najati, "G-frames and stability of g-frames in Hilbert spaces", Methods Funct. Anal. Topology, 4, pp.271~286 (2008)
- W. Sun, "G-frames and g-Riesz bases", J. Math. Anal. Appl., 322, pp.437~452 (2006)
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