A universal differentiability set in Banach spaces with separable dual |
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| Authors: | Michael Doré |
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| Affiliation: | School of Mathematics, University of Birmingham, Edgbaston, Birmingham B15 2TT, UK |
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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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| Keywords: | Universal differentiability set Fré chet differentiability Null set |
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