1) K extremely convex
K-极凸
1.
In this paper,we introduced the rational notion of K extremely convex and K extremely smooth in Banach spaces,and discussed the relation of this new convexity and the extremely smoothness with other K convexity and K smoothness.
引入 K-极凸和 K-极光滑的概念 ,它们分别是极凸和极光滑概念的合理推广 ,从而推广了〔2〕中的结果 ,并得出了它们与其它一些 K凸性和 K光滑性的关系。
2) K-extremely convex spaces
K-极凸空间
3) k-uniformly extreme convex
k-一致极凸
4) k-uniformly extremely convex space
k一致极凸
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。
5) K-very extremely convex spaces
K-非常极凸空间
6) K uniformly smooth space
K-致极凸空间
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