Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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MORE ON SUMS OF HILBERT SPACE FRAMES

  • Najati, A. (Department of Mathematics Faculty of Mathematical Sciences University of Mohaghegh Ardabili) ;
  • Abdollahpour, M.R. (Department of Mathematics Faculty of Mathematical Sciences University of Mohaghegh Ardabili) ;
  • Osgooei, E. (Department of Sciences Urmia University of Technology) ;
  • Saem, M.M. (Department of Mathematics Faculty of Mathematical Sciences University of Mohaghegh Ardabili)
  • Received : 2012.02.18
  • Published : 2013.11.30
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Abstract

In this paper we establish some new results on sums of Hilbert space frames and Riesz bases. We also provide a correction to some recently established results in [2].

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References

  1. O. Christensen, An Introduction to Frames and Riesz Bases, Birkhauser, Boston, 2003.
  2. S. Obeidat, S. Samarah, Peter G. Casazza, and J. C. Tremain, Sums of Hilbert space frames, J. Math. Anal. Appl. 351 (2009), no. 2, 579-585. https://doi.org/10.1016/j.jmaa.2008.10.040

Cited by

  1. Some Results About the Operator Perturbation of a K-Frame vol.73, pp.4, 2018, https://doi.org/10.1007/s00025-018-0902-x