Differentiability of Banach Spaces via Constructible Sets

Details Differentiability of Banach Spaces via Constructible Sets Differentiability of Banach Spaces via Constructible Sets

2008-10-03

arxiv.org/abs/0810.0586v2

Mathematics

Functional Analysis

5 pages

Scientific paper

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.

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