摘要
Ｂａｎａｃｈ空间的范数可微性可用它的单位球面来刻画．本文把这些范数可微性的几何条件推广到正则局部Ｌｉｐｓｃｈｉｔｚ函数情形．
The differentiability of a norm of a Banach space may be characterized by its unit sphere. This paper generalizes these geometric conditions of norm’s differentiability to the case of a regular locally Lipschitz function.
出处
《数学学报（中文版）》
CSCD
北大核心
1998年第2期307-312,共6页
Acta Mathematica Sinica：Chinese Series
基金
国家自然科学基金
关键词
几何条件
李普希兹函数
可微性
巴拿赫空间
Geometric condition
Gteaux and Fréchet differentiability
Locally Lipschitz function
Regularity
