Acta Mathematica Sinica, English Series

, Volume 29, Issue 1, pp 75–84 | Cite as

Characterizing R-duality in Banach spaces

  • Ole Christensen
  • Xiang Chun Xiao
  • Yu Can Zhu


R-duals of certain sequences in Hilbert spaces were introduced by Casazza, Kutyniok and Lammers in 2004 and later generalized to Banach spaces by Xiao and Zhu. In this paper we provide some characterizations of R-dual sequences in Banach spaces.


R-duals p-frames p-Riesz bases duality 

MR(2000) Subject Classification



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Copyright information

© Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Chinese Mathematical Society and Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • Ole Christensen
    • 1
  • Xiang Chun Xiao
    • 2
  • Yu Can Zhu
    • 2
  1. 1.Department of MathematicsTechnical University of DenmarkLyngbyDenmark
  2. 2.Department of MathematicsFuzhou UniversityFuzhouP. R. China

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