Acta mathematica scientia,Series A

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New Perturbation Results on Frames in Hilbert Spaces

Li Dengfeng ;Yang Lijun   

  1. Institute of Applied Mathematics, Henan University, Kaifeng 475001;

    College of Mathematics and Information Science, Henan University, Kaifeng 475001

  • Received:2005-12-20 Revised:2007-08-11 Online:2008-06-25 Published:2008-06-25
  • Contact: Li Dengfeng

Abstract:

In this paper, some new results of frame perturbation in Hilbert spaces are obtained.The authors also discuss perturbations of Riesz bases, near-Riesz bases and Riesz frames.Moreover, it is showed that many known results are corollaries of the results.

Key words: Frame, Riesz basis, Near-Riesz bases, Riesz frame, Perturbation

CLC Number: 

  • 42C15
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