Embedding uniformly convex spaces into spaces with very few operators Academic Article uri icon

abstract

  • We prove that every separable uniformly convex Banach space X embeds into a Banach space Z which has the property that all bounded linear operators on Z are compact perturbations of scalar multiples of the identity. More generally, the result holds for all separable reflexive Banach spaces of Szlenk index ω0. © 2011 Elsevier Inc.

author list (cited authors)

  • Argyros, S. A., Freeman, D., Haydon, R., Odell, E., Raikoftsalis, T. h., Schlumprecht, T. h., & Zisimopoulou, D.

citation count

  • 9

publication date

  • February 2012