Differentiability of Banach Spaces via Constructible Sets
Functional Analysis
2009-01-31 v2
Abstract
the main goal of this paper is to prove that any Banach space X, that every dual ball in X** is weak* -separable, or every weak* -closed convex subset in X** is weak* -separable, or every norm-closed convex set in X* is constructible, admits an equivalent Frechet differentiable norm.
Keywords
Cite
@article{arxiv.0810.0586,
title = {Differentiability of Banach Spaces via Constructible Sets},
author = {Hadi Haghshenas},
journal= {arXiv preprint arXiv:0810.0586},
year = {2009}
}
Comments
5 pages