矢值Banach序列空间ss(E)的端点和强暴露点  

EXTREME POINTS AND STRONGLY EXPOSED POINTS OF ss(E) IN VECTOR-VALUED BANACH SEQUENCE SPACES

作　　者：任丽伟[1] 冯国臣[1] 

机构地区：[1]北方交通大学理学院数学系,北京100044

出　　处：《数学杂志》2005年第2期160-166,共7页Journal of Mathematics

摘　　要：本文讨论赋序列范数的矢值Banach序列空间ss(E)的几何性质.利用 ss和ss (E)的关系刻化了ss(E)的端点和强暴露点,给出了它们的判据,并推广了 lp(E)的结果.This paper continuously study geometric properties of vector-valued Banach sequence spaces ss(E) equipped with sequential norms. Here, using the relation between ss and ss(E), we characterize extreme points and strongly exposed points of ss(E), give their criteria, and generalize the results of lp(E).

关 键 词：矢值序列空间 端点 强暴露点 

分 类 号：O177.2[理学—数学]