赋广义Orlicz范数的Orlicz序列空间的k一致凸点  

k-uniform rotund points in Orlicz sequence spaces equipped with the generalized Orlicz norm

作　　者：段丽芬 左明霞 DUAN Li-fen;ZUO Ming-xia(School of Mathematics,Tonghua Teachers University,Tonghua 134002,Jilin,China;School of Sciences,Harbin University of Science and Technology,Harbin 150080,Heilongjiang,China)

机构地区：[1]通化师范学院数学学院,吉林通化134002 [2]哈尔滨理工大学理学院,黑龙江哈尔滨150080

出　　处：《山东大学学报（理学版）》2020年第2期43-47,共5页Journal of Shandong University(Natural Science)

基　　金：吉林省教育厅“十三五”科研规划项目(JJKH20180859KJ).

摘　　要：利用广义Orlicz范数的特征和处理序列空间理论的技巧,讨论赋广义Orlicz范数的Orlicz序列空间的k一致凸点问题,得到该空间k一致凸点的判别准则,进一步得到该空间局部k一致凸的条件。Using the characteristics of the generalized Orlicz norm and techniques for dealing with sequence space theory,k-uniform rotund points of the Orlicz sequence spaces equipped with the generalized Orlicz norm are discussed.The criterion of k-uniform rotund points in above spaces is given.And both sufficient and necessary conditions are obtained to make above spaces be locally k-uniform rotund.

关 键 词：ORLICZ序列空间 广义ORLICZ范数 k一致凸点 局部k一致凸性 

分 类 号：O177.3[理学—数学]