Differentiability of Banach Spaces via Constructible Sets

2008/10/03 by Hadi Haghshenas, Haghshenas, Hadi
Computer Science · Mathematics · #46B20 #Advanced Banach Space Theory #FOS: Mathematics #Fixed Point Theorems Analysis #Functional Analysis (math.FA) #Optimization and Variational Analysis #math.FA #msc:46B20

paper · pdf · doi:10.48550/arxiv.0810.0586

5 pages

openalex publication_date 2008/10/03 · arxiv created 2009/01/31 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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