The dual of the Bourgain-Delbaen space
Dale Alspach
Abstract
It is shown that a script Linfty-space with separable dual constructed by Bourgain and Delbaen has small Szlenk index and thus does not have a quotient isomorphic to C(omegaomega). It follows that this is a script Linfty-space which is the same size as c0 in the sense of the Szlenk index but does not contain c0. This has some consequences in the theory of uniform homeomorphism of Banach spaces.
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