几个经典Banach空间中的k—光滑点和近光滑点的特征

Characterizations of k—Smooth Points and Nearly Smooth Points in Some Classical Banach Spaces

在本文中,我们讨论赋范线性空间的k—光滑性和近光滑性之间的关系,给出L^1[a,b]、l_1、c、c_0等经典Banach空间中的k—光滑点与近光滑点的特征。

In this paper, We discuss the relationship between k—smoothness and near smoothness of normed linear spaces, and give the characterizations of k—smooth points and nearly smooth points in the classical Banach spaces L^1[a,b], l_1, c and c_0 respectively.