The dual of the Bourgain-Delbaen space

Details The dual of the Bourgain-Delbaen space The dual of the Bourgain-Delbaen space

1998-05-18

arxiv.org/abs/math/9805081v3

Israel J. Math 117 (2000), 239-259

Mathematics

Functional Analysis

20 pages, LaTeX2e, Missing omegas in the statement and proof of Corollary 3.11 inserted

Scientific paper

It is shown that a script L_infty-space with separable dual constructed by Bourgain and Delbaen has small Szlenk index and thus does not have a quotient isomorphic to C(omega^omega). It follows that this is a script L_infty-space which is the same size as c_0 in the sense of the Szlenk index but does not contain c_0. This has some consequences in the theory of uniform homeomorphism of Banach spaces.

Affiliated with

Also associated with

No associations

Rating

The dual of the Bourgain-Delbaen space does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The dual of the Bourgain-Delbaen space, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The dual of the Bourgain-Delbaen space will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-317399