摘要
端点与强端点是Banach空间几何学的重要内容。为研究赋s-范数Orlicz空间的端点,首先对s-范数的一些基本性质进行讨论。然后,在此基础上,给出赋s-范数Orlicz空间端点的判据,并据此得到赋s-范数的Orlicz空间严格凸的充要条件。
The extreme points and strongly extreme points are important contents of Banach space. In order to study the extreme points of Orlicz space equipped with s-norm, some basic properties of the s-norm are discussed firstly. Then, based on this, the criterion for extreme points in Orlicz spaces equipped with s-norm is given. And the sufficient and necessary conditions for strictly convex in Orlicz spaces equipped with s-norm is obtained.
作者
崔云安
安莉丽
展玉佳
CUI Yun-an;AN Li-li;ZHAN Yu-jia(School of Applied Sciences,Harbin University of Science and Technology,Harbin 150080,China)
出处
《哈尔滨理工大学学报》
CAS
北大核心
2020年第5期143-148,共6页
Journal of Harbin University of Science and Technology
基金
国家自然科学基金(11871181)。
