Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4591629 | Journal of Functional Analysis | 2011 | 37 Pages |
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 Fréchet differentiable somewhere in S.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory