A universal differentiability set in Banach spaces with separable dual
classification
🧮 math.FA
keywords
banachdualseparablespaceboundedclosedcontainsdifferentiability
read the original 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.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.