MARTINGALES WITH VALUES IN UNIFORMLY CONVEX-SPACES Academic Article uri icon

abstract

  • Using the techniques of martingale inequalities in the case of Banach space valued martingales, we give a new proof of a theorem of Enflo: every super-reflexive space admits an equivalent uniformly convex norm. Let r be a number in ]2, [; we prove moreover that if a Banach space X is uniformly convex (resp. if x(e{open})/e{open} r when e{open} 0) then X admits for some q< (resp. for some q

published proceedings

  • ISRAEL JOURNAL OF MATHEMATICS

altmetric score

  • 3

author list (cited authors)

  • PISIER, G.

citation count

  • 293

complete list of authors

  • PISIER, G

publication date

  • September 1975