Acta Mathematica

, Volume 130, Issue 1, pp 309–317 | Cite as

A counterexample to the approximation problem in Banach spaces

  • Per Enflo


Banach Space Walsh Function Expansion Operator Combinatorial Argument Finite Rank Operator 
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  1. [1].
    Grothendieck, A., Produits tensoriels topologiques et espaces nucleaires.Mem. Amer. Math. Soc., 16 (1955).Google Scholar
  2. [2].
    Enflo, P., A Banach space with basis constant >1.Arkiv för matematik, 11 (1973), 103–107.zbMATHMathSciNetCrossRefGoogle Scholar
  3. [3].
    Johnson, W. B., Rosenthal, H. P., &Zippin, M., On bases, finite-dimensional decompositions and weaker structures in Banach spaces.Israel J. Math. 9 (1971), 488–506.zbMATHMathSciNetGoogle Scholar
  4. [4].
    Johnson, W. B., A complementably universal conjugate Banach space and its relation to the approximation problem.Israel J. Math. 13 (1972), 301–310.MathSciNetGoogle Scholar

Copyright information

© Almqvist & Wiksell Informationsindustri AB 1973

Authors and Affiliations

  • Per Enflo
    • 1
  1. 1.University of CaliforniaBerkeleyUSA

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