Abstract of a paper by Michael Dore and Olga Maleva
11 Apr
2011
11 Apr
'11
9:48 p.m.
This is an announcement for the paper "A universal differentiability set in Banach spaces with separable dual" by Michael Dore and Olga Maleva. 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. Archive classification: math.FA Remarks: 41 pages, 1 figure Submitted from: michael.j.dore@gmail.com The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1103.5094 or http://arXiv.org/abs/1103.5094
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