THE DUAL J-STAR OF THE JAMES SPACE HAS COTYPE-2 AND THE GORDON-LEWIS PROPERTY Academic Article uri icon

abstract

  • AbstractWe prove the result in the title. More generally we consider the Banach space p, of all sequences (xn) of scalars such thatwhere 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.

published proceedings

  • MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY

author list (cited authors)

  • PISIER, G.

citation count

  • 3

complete list of authors

  • PISIER, G

publication date

  • January 1988