ON THE SETS OF GATEAUX NON-DIFFERENTIABILITY OF LIPSCHITZ ISOMORPHISM BETWEEN BANACH SPACES＊t

• 作者: Yingbin Ruan
• 来源期刊: 应用数学年刊：英文版
• 学科: 数学
• 关键词: 数学分析 数学理论 应用数学 函数
• 年，卷（期）: 2015,（3）
• 页码范围: 324-328
• 页数: 5页
• 分类号: O1

摘要

We prove that for every Lipschitz isomorphism f from a separable Hilbert space H to a Banach space Y with Radon-Nikodym property, there is a bounded surjective linear operator T : H → Y so that(f + T)-1(N G(f-1)) is a Γ-null set of H, where N G(f-1) is the set of all the points of Gteaux non-differentiability of f-1.