赋序列范数的矢值Banach序列空间的接近严格凸和弱一致凸  

Nearly strict rotundity and weakly＊ uniform rotundity of vector-valued Banach sequence spaces equipped with sequential norms

作　　者：冯国臣[1] 任丽伟[1] 

机构地区：[1]北京交通大学理学院,北京100044

出　　处：《北京交通大学学报》2011年第6期135-139,共5页JOURNAL OF BEIJING JIAOTONG UNIVERSITY

摘　　要：讨论了赋序列范数的矢值Banach序列空间ss(E)的接近严格凸和弱*一致凸,给出了他们的判据.主要结果为:设ss具有AK性质,ss和ss*是严格单调的,则ss(E)是接近严格凸的当且仅当ss和E是接近严格凸的;设ss具有AK性质,则ss(E)是弱*一致凸的当且仅当ss和E是弱*一致凸的.Discuss nearly strict rotundity and weakly＊ uniform rotundity of vector-valued sequence spaces ss （E） equipped with sequential norms are discussed, and their criteria are given. The main results are follows： Let ss has AK property, ss and ss ＊be strictly monotone, then ss （E） is nearly stritly rotund if and only if ss and E are nearly stritly rotund; Let ss hav AK property. Then ss （E） is wearly＊ uniformly rotund if and only if ss and E are wearly＊ uniformly rotund.

关 键 词：矢值序列空间 接近严格凸 弱＊ 一致凸 

分 类 号：O177.2[理学—数学]