The dual J* of the James space has cotype 2 and the Gordon-Lewis property
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We prove the result in the title. More generally we consider the Banach space vp of all sequences (xn) of scalars such that [formula omitted] where the supremum runs over all increasing sequences n1 ≼ n2 ≼ …. We show that vp* is of cotype 2 if p ≽ 2 and of cotype p′, where 1/p′ + 1/p = 1, if p ≼2. Similar results are obtained for the analogous function spaces. © 1988, Cambridge Philosophical Society. All rights reserved.
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