Superreflexivity and J-convexity of Banach spaces
Joerg Wenzel
Abstract
A Banach space X is superreflexive if each Banach space Y that is finitely representable in X is reflexive. Superreflexivity is known to be equivalent to J-convexity and to the non-existence of uniformly bounded factorizations of the summation operators Sn through X. We give a quantitative formulation of this equivalence. This can in particular be used to find a factorization of Sn through X, given a factorization of SN through [L2,X], where N is `large' compared to n.
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