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On Banach spaces with few spreading models
Authors:  nyamin Sari
Institution:Department of Mathematics, University of South Carolina, Columbia, South Carolina 29208
Abstract:If the set of spreading models of a Banach space $X$is countable (up to equivalence), then it cannot contain a strictly increasing infinite chain of spreading models generated by normalized weakly null sequences. Moreover, such a space $X$ must have a spreading model which is `close' to $c_0$ or $\ell_p$ for some $1\le p<\infty$.

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