Israel Journal of Mathematics

, Volume 67, Issue 1, pp 109–116

Axioms of determinacy and biorthogonal systems

  • Gilles Godefroy
  • Alain Louveau

DOI: 10.1007/BF02764903

Cite this article as:
Godefroy, G. & Louveau, A. Israel J. Math. (1989) 67: 109. doi:10.1007/BF02764903


If allΠn1 games are determined, every non-norm-separable subspaceX ofl(N) which is W* —Σn+1/1 contains a biorthogonal system of cardinality 20. In Levy’s model of Set Theory, the same is true of every non-norm-separable subspace ofl(N) which is definable from reals and ordinals. Under any of the above assumptions,X has a quotient space which does not linearly embed into 1(N).

Copyright information

© The Weizmann Science Press of Israel 1989

Authors and Affiliations

  • Gilles Godefroy
    • 1
  • Alain Louveau
    • 1
  1. 1.Centre National de la Recherche Scientifique and Equipe d’AnalyseUniversité Paris VIParis Cedex 05France

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