北京交通大学学报2011,Vol.35Issue(6):135-139,5.
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
摘要
Abstract
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(£) 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 JE are wearly* uniformly rotund.关键词
矢值序列空间/接近严格凸/弱*一致凸Key words
vector-valued sequence space/ nearly strict rotundity/ weakly* uniform rotundity分类
数理科学引用本文复制引用
冯国臣,任丽伟..赋序列范数的矢值Banach序列空间的接近严格凸和弱*一致凸[J].北京交通大学学报,2011,35(6):135-139,5.