摘要
本文对参考文献 [1 ]中给出的赋Luxemburg范数Orlicz序列空间中k -端点判据的充分性的证明进行了修正 给出了赋Luxemburg范数Orlicz序列空间中k-强端点的判据 ,并据此方便地得到了Orlicz序列空间中点局部k -致凸 (MLKUR)的条件 .
In this paper, we first modify the proof of sufficiency of the criterion of k-extreme point in Orlicz sequence spaces equipped with the Luxemburg given in the reference [1]. Criterion of k-strongly extreme points is given for the Orlicz sequence spaces equipped with the Luxemburg norm. And by it we obtain a sufficient and necessary condition for Orlicz sequence spaces equipped with the Luxemburg norm to be middle point local k-uniform convexity (MLKUR, for short).
出处
《哈尔滨师范大学自然科学学报》
CAS
2003年第6期22-25,共4页
Natural Science Journal of Harbin Normal University
基金
国家自然科学基金资助项目 ( 10 1710 2 5 )
