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.
出处
《北京交通大学学报》
CAS
CSCD
北大核心
2011年第6期135-139,共5页
JOURNAL OF BEIJING JIAOTONG UNIVERSITY
关键词
矢值序列空间
接近严格凸
弱＊
一致凸
vector-valued sequence space
nearly strict rotundity
weakly＊ uniform rotundity
