摘要
给出赋Luxemburg范数的Orlicz函数空间的紧一致凸、弱紧一致凸、紧局部一致凸、弱紧局部一致凸和k-drop凸的判据,并且据此得到在Orlicz函数空间中这些凸性的等价关系.
We gives the criteria for some convexities of Orlicz space with Luxemburg norm,such as,compact uniformly convexity;weakly compact uniformly convexity;compact local uniformly convexity;weakly compact local uniformly convexity and k-drop convexity.And by it the equivalence of convexities in the Orlicz space are obained.
出处
《应用泛函分析学报》
CSCD
2009年第3期277-283,共7页
Acta Analysis Functionalis Applicata
基金
内蒙古自然科学基金资助项目(20080404MS0102)
关键词
ORLICZ空间
(弱)紧一致凸
(弱)紧局部一致凸
k-drop凸空间
Orlicz space
compact uniformly convexity
weakly compact uniformly convexity
compact local uniformly convexity
weakly compact local uniformly convexity
k-drop convexity
