A universal differentiability set in Banach spaces with separable dual

Details A universal differentiability set in Banach spaces with separable dual A universal differentiability set in Banach spaces with separable dual

2011-03-25

arxiv.org/abs/1103.5094v1

Mathematics

Functional Analysis

41 pages, 1 figure

Scientific paper

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.

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