Banach spaces of bounded Szlenk index II Academic Article uri icon

abstract

  • For every α < ω1 we establish the existence of a separable Banach space whose Szlenk index is wαω+1 and which is universal for all separable Banach spaces whose Szlenk index does not exceed ωαω. In order to prove that result we provide an intrinsic characterization of which Banach spaces embed into a space admitting an FDD with Tsirelson type upper estimates. © Instytut Matematyczny PAN, 2009.

author list (cited authors)

  • Freeman, D., Odell, E., Schlumprecht, T. h., & Zsák, A.

citation count

  • 8

publication date

  • January 2009