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The dual J* of the James space has cotype 2 and the Gordon-Lewis property
Published online by Cambridge University Press: 24 October 2008
Abstract
We prove the result in the title. More generally we consider the Banach space υp, of all sequences (xn) of scalars such that
where the supremum runs over all increasing sequences n1 ≤ n2 ≤ …. We show that 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.
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 103 , Issue 2 , March 1988 , pp. 323 - 331
- Copyright
- Copyright © Cambridge Philosophical Society 1988
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