Sur les espaces de Banach contenantl
1(τ) |
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Authors: | Michael Talagrand |
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Institution: | (1) Equipe d’Analyse — Tour 46, Université Paris VI, 4, Place Jussieu, 75230 Paris Cedex 05, France |
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Abstract: | Letτ be a cardinal with cf(τ)>ℵ0. Then a Banach spaceE contains a subspace isomorphic tol
l(τ) if and only if 0,1]
r
is a continuous image of the unit ballE′1 ofE′, provided with the w*-topology. It follows that, for each cardinalκ, ifE′1 contains a copy ofβκ, thenE has a quotient isomorphic tol
∞(κ). In this situation we show thatE has even a quotientisometric tol
∞(κ).
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Keywords: | |
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