This is an announcement for the paper "A universal differentiability set in Banach spaces with separable dual" by Michael Dore and Olga Maleva.

Abstract: We show that any non-zero Banach space with a separable dual contains a totally disconnected, closed and bounded subset S of Hausdorff dimension 1 such that every Lipschitz function on the space is Fr'echet differentiable somewhere in S.

Archive classification: math.FA

Remarks: 41 pages, 1 figure

Submitted from: michael.j.dore@gmail.com

The paper may be downloaded from the archive by web browser from URL

http://front.math.ucdavis.edu/1103.5094

or

http://arXiv.org/abs/1103.5094