赋广义Orlicz范数Orlicz序列空间的局部一致凸性  

Locally Uniform Rotundity in Orlicz Sequence Spaces Endowed with the Generalized Orlicz Norm

作　　者：程亚焕[1] 段丽芬[1] 左明霞[2] 

机构地区：[1]通化师范学院数学学院,吉林通化134002 [2]哈尔滨理工大学应用科学学院,哈尔滨150080

出　　处：《吉林大学学报（理学版）》2015年第2期224-228,共5页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:11226127);吉林省教育厅"十二五"科技项目(吉教科合字[2014]第400号);黑龙江省教育厅科研项目(批准号:12531137)

摘　　要：利用序列Banach空间中相关序列的特殊技巧研究Orlicz序列空间局部一致凸和弱局部一致凸问题,得到了赋广义Orlicz范数Orlicz序列空间局部一致凸和弱局部一致凸的条件.Using special techniques that are related to sequence in sequence Banach spaces,the authors studied locally uniform rotundity and weakly locally uniform rotundity of the Orlicz sequence spaces,presenting sufficient and necessary conditions for the Orlicz sequence spaces endowed with the generalized Orlicz norm to make them be locally uniform rotund and weakly locally uniform rotund.

关 键 词：广义ORLICZ范数 ORLICZ序列空间 局部一致凸 弱局部一致凸 

分 类 号：O177.3[理学—数学]