摘要
给出赋Orlicz范数的Orlicz函数空间的k非常凸、k一致极凸、紧(弱紧)一致凸、紧局部(弱紧局部)一致凸的判据,并根据判据得到在Orlicz函数空间中这些凸性的等价关系.
In this paper, the criteria for some convexities of Orlicz space with Orlicz norm, such as k-very convex space,k-uniformly extremely convex space, compact （weakly compact） uniformly convexity and compact （weakly compact） local uniformly convexity are given. With these criteria,the equivalence of convexities in the Orlicz space is obtained.
出处
《内蒙古师范大学学报（自然科学汉文版）》
CAS
2009年第3期258-263,共6页
Journal of Inner Mongolia Normal University(Natural Science Edition)
基金
内蒙古自然科学基金资助项目(20080404MS0102)
关键词
ORLICZ空间
k非常凸
k-致极凸
紧(弱紧)一致凸
紧局部(弱紧局部)一致凸
等价关系
Orlicz space
k-very convex space
k-uniformly extremely convex space
compact （weaklycompact） uniformly convexity
compact （weakly compact） local uniformly convexity
equivalence relation
