Embedding uniformly convex spaces into spaces with very few operators
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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.