Embedding uniformly convex spaces into spaces with very few operators

作者：Argyros S A; Freeman D^*; Haydon R; Odell E; Raikoftsalis Th; Schlumprecht Th; Zisimopoulou D

来源：Journal of Functional Analysis, 2012, 262(3): 825-849.

DOI：10.1016/j.jfa.2011.10.004

• Scalar plus compact
• Bourgain-Delbaen spaces
• Embedding Banach spaces
• Very few operators

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 coo.

• 出版日期2012-2-1