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Some Results on Fusion Frames and g-Frames

  • Nguyen Quynh NgaEmail author
Article

Abstract

In this paper, we discuss some aspects where fusion frames and g-frames behave differently from frames. Several counterexamples to make clear their different behaviour are given. We also improve some results on g-frames. Moreover, we extend the notion of redundancy to g-frames and show that most of the desirable properties of lower and upper redundancies on frames and fusion frames can carry over g-frames. We also study the relationship between redundancy of g-frames and their dual g-frames, redundancy for infinite g-frames and the excess of g-frames.

Keywords

Frame fusion frame g-frame redundancy excess 

Mathematics Subject Classification

42C15 46C05 41A58 

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Copyright information

© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Graduate University of Science and TechnologyVietnam Academy of Science and TechnologyCau GiayVietnam
  2. 2.Institute of MathematicsVietnam Academy of Science and TechnologyCau GiayVietnam

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