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On impossible extensions of Krivine's Theorem

Edward Odell·Thomas Schlumprecht
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Abstract

We give examples of two Banach spaces. One Banach space has no spreading model which contains $\ell_p$ ($1\le p<\infty$) or $c_0$. The other space has an unconditional basis for which $\ell_p$ ($1\le p<\infty$) and $c_0$ are block finitely represented in all block bases.

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Edward Odell, Thomas Schlumprecht. 1993-08-10. On impossible extensions of Krivine's Theorem. https://arxiv.org/abs/math/9308205

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