Radon-Nikodym性质与范数的Gteaux可微性
Radon-Nikodym Property and Gteaux Differentiability of Norms
Abstract
本文研究了Banach空间中集合的RNP与范数的G^ateaux可微性之间的关系 ,给出了关于Banach空间中集合具RNP的一些充要条件 This paper presents a characterization of convex sets in Banach spaces having the Radon-Nikodym property by using Gteaux differentiability properties of the norms.