The dual J* of the James space has cotype 2 and the Gordon-Lewis property Academic Article uri icon

abstract

  • 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.

author list (cited authors)

  • Pisier, G.

citation count

  • 2

complete list of authors

  • Pisier, Gilles

publication date

  • March 1988