대한수학회보 (Bulletin of the Korean Mathematical Society)

  • 제50권6호
  • /
  • Pages.1841-1846
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  • 2013
  • /
  • 1015-8634(pISSN)
  • /
  • 2234-3016(eISSN)
대한수학회 (Korean Mathematical Society)
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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)
  • 투고 : 2012.02.18
  • 발행 : 2013.11.30
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초록

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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참고문헌

  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

피인용 문헌

  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