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http://dx.doi.org/10.4134/BKMS.2013.50.6.1841

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)
Publication Information
Bulletin of the Korean Mathematical Society / v.50, no.6, 2013 , pp. 1841-1846 More about this Journal
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].
Keywords
frame; Gabor frame; frame operator;
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  • Reference
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.   DOI   ScienceOn