Article ID Journal Published Year Pages File Type
4591629 Journal of Functional Analysis 2011 37 Pages PDF
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