Title of article
A universal differentiability set in Banach spaces with separable dual ✩
Author/Authors
Michael Doré، نويسنده , , Olga Maleva ?، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2011
Pages
37
From page
1674
To page
1710
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.
© 2011 Elsevier Inc. All rights reserved.
Keywords
Universal differentiability set , Null set , Fréchet differentiability
Journal title
Journal of Functional Analysis
Serial Year
2011
Journal title
Journal of Functional Analysis
Record number
840531
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