Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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AVERAGING PROPERTY IN BANACH SPACES

  • Cho, Kyug-Eeun (Center for Liberal Arts & Instructional Development, Myong Ji University)
  • Published : 2002.11.01
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Abstract

In this paper, we study averaging properties in Banach space. We prove that the convex block Banach-Saks property is equivalent to the reflexivity in a Banach space. And we show that a weakly compact operator is a convex block Banach-Saks operator.

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References

  1. Studia Math. v.42 On reflexivity and summability A. Baernstein
  2. Proc. Amer. Math. Soc. v.49 An ergodic superproperty of Banach spaces defined by a class of matrices A. Brunel;H. Fong;L. Sucheston
  3. Tohoku Math. J. v.45 Weak convergence in uniformly convex spaces S. Kakutani
  4. Studia Math. v.23 Reflexivity and summability T. Nishiura;D. Waterman
  5. Bull. Acad. Polon. Sci. v.26 The dual of Baernstein's space and the Banach-Saks property C. J. Seifert

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