Embedding uniformly convex spaces into spaces with very few operators

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 0. 2011 Elsevier Inc.

authors

• Schlumprecht, Thomas

published proceedings

• Journal of Functional Analysis

author list (cited authors)

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

citation count

• 9

complete list of authors

• Argyros, SA||Freeman, D||Haydon, R||Odell, E||Raikoftsalis, Th||Schlumprecht, Th||Zisimopoulou, D

publication date

• January 2012

publisher

• Elsevier  Publisher

published in

• Journal of Functional Analysis  Journal

Digital Object Identifier (DOI)

• 10.1016/j.jfa.2011.10.004

start page

• 825

end page

• 849

volume

• 262

issue

• 3

URL

• http://dx.doi.org/10.1016/j.jfa.2011.10.004