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arXiv · 1103.5094

A universal differentiability set in Banach spaces with separable dual

Michael Doré·Olga Maleva
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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.

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Michael Doré, Olga Maleva. 2011-03-25. A universal differentiability set in Banach spaces with separable dual. https://arxiv.org/abs/1103.5094

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