Un Nouveau ℓ (K) Qui Possede la Propriete de Grothendieck
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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- 2.R. Haydon, A non-reflexive Grothendieck space which does not containl ∞, à paraître dans Israel J. Math.Google Scholar