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Israel Journal of Mathematics

, Volume 37, Issue 1–2, pp 181–191 | Cite as

Un Nouveau ℓ (K) Qui Possede la Propriete de Grothendieck

  • Michel Talagrand
Article

Abstract

Using the continuum hypothesis, we construct a compact spaceK such that ℓ(K) possesses the Grothendieck property, but such that the unit ball of ℓ(K)′ does not containβ N, and hence, in particular, such thatl (N) is neither a subspace nor quotient of ℓ(K). In particular,K does not contain a convergent sequence but does not containβ N.

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Copyright information

© The Weizmann Science Press of Israel 1980

Authors and Affiliations

  • Michel Talagrand
    • 1
  1. 1.Equipe d’Analyse - Tour 46Université Paris IVParis Cedex 05France

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