The universality of 1 as a dual space Academic Article uri icon


  • Let X be a Banach space with a separable dual. We prove that X embeds isomorphically into a L space Z whose dual is isomorphic to 1. If, moreover, U is a space with separable dual, so that U and X are totally incomparable, then we construct such a Z, so that Z and U are totally incomparable. If X is separable and reflexive, we show that Z can be made to be somewhat reflexive. 2010 Springer-Verlag.

published proceedings

  • Mathematische Annalen

author list (cited authors)

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

citation count

  • 17

complete list of authors

  • Freeman, D||Odell, E||Schlumprecht, Th

publication date

  • September 2011