A universal differentiability set in Banach spaces with separable dual

Published 25 Mar 2011 in math.FA | (1103.5094v1)

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.

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