Orlicz序列空间光滑点的一点注记  

A Note on Smooth Points in Orlicz Sequence Spaces

作　　者：王静 崔云安 WANG Jing;CUI Yun-an(School of Science,Harbin University of Science and Technology,Harbin 150080,China)

机构地区：[1]哈尔滨理工大学理学院,哈尔滨150080

出　　处：《哈尔滨理工大学学报》2021年第3期147-152,共6页Journal of Harbin University of Science and Technology

基　　金：国家自然科学基金(11871181).

摘　　要：给出在φ(u)/u→A(u→∞)情况下由一般的Orlicz函数生成的Orlicz序列空间光滑点的判别准则以及光滑点与很光滑点、强光滑点的等价条件,并在此基础上推出了该空间具有光滑性的充分必要条件,至此Orlicz序列空间光滑点判据得以解决。In this paper,whenφ(u)/u→A(u→∞)the criterion of smooth points in Orlicz sequence space generated by general Orlicz functions and the equivalence conditions of smooth points with very smooth points and strong smooth points are given.On this basis,the sufficient and necessary conditions for smooth points in Orlicz sequence space are derived,so that the criterion of smooth points in Orlicz space can be solved.

关 键 词：ORLICZ序列空间 光滑点 强(很)光滑点 

分 类 号：O177.3[理学—数学]