Geometric Conditions of Differentiability for a Regular Locally Lipschitz Function  

作　　者：Shi Shuzhong Wang Bingwu 

机构地区：[1]Nankai Institute of Mathematics,Tianjin 300071,China

出　　处：《Acta Mathematica Sinica,English Series》1998年第2期209-222,共14页数学学报（英文版）

基　　金：Supported by the National Natural Science Foundation of China

摘　　要：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.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.

关 键 词：Geometric condition Gateaux-and Frechet-differentiability Locally Lipschitz function REGULARITY 

分 类 号：O1[理学—数学]