赋p-Amemiya范数的Musielak-Orlicz空间的强端点  

The Strongly Extreme Points in the Musielak-Orlicz Space Endowed With p-Amemiya Norm

作　　者：贾静 王俊明 JIA Jing;WANG Jun-ming(Department of Mathematics,Harbin University of Science and Technology,Harbin 150080,China)

机构地区：[1]哈尔滨理工大学应用数学系,黑龙江哈尔滨150080

出　　处：《哈尔滨理工大学学报》2018年第5期124-129,共6页Journal of Harbin University of Science and Technology

基　　金：国家自然科学基金(11401141)

摘　　要：为了研究赋p-Amemiya范数的Musielak-Orlicz空间的一些几何性质,讨论了赋pAmemiya范数的Musielak-Orlicz函数空间中的点是强端点的充要条件。通过比较,我们发现它与赋Orlicz范数和赋Luxemburg范数的Musielak-Orlicz函数空间中的点是强端点的充要条件是类似的。同时在此条件的基础上,还得到了赋p-Amemiya范数的Musielak-Orlicz函数空间是中点局部一致凸的判据。In order to study some geometric properties of Musielak-Orlicz space endowed with p-Amemiya norm,we discuss the necessary and sufficient conditions for the strongly extreme points in the Musielak-Orlicz function space endowed with p-Amemiya norm.Through the comparison,we find that the necessary and sufficient conditions for the strongly extreme points in the Musielak-Orlicz function space endowed with p-Amemiya norm,Orlicz norm and Luxemburg norm are similar.On the basis of the conditions,the criterion of the Musielak-Orlicz function space endowed with p-Amemiya norm is the midpoint locally uniformly convex is got.

关 键 词：p-Amemiya范数 Musielak-Orlicz函数空间 强端点 

分 类 号：O177.3[理学—数学]