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1)  compact uniformly convex
紧一致凸
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2)  compact(weakly compact) uniformly convexity
紧(弱紧)一致凸
1.
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.
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。
3)  near(compact) K uniform convexity
近(紧)K一致凸
4)  LURWC
局部弱紧一致凸
5)  compactly locally uniformly rotund points
紧局部一致凸点
6)  compact(weakly compact) local uniformly convexity
紧局部(弱紧局部)一致凸
1.
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.
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。
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