1) K-very extremely convex spaces
K-非常极凸空间
2) K-extremely convex spaces
K-极凸空间
3) K-very extremely smooth spaces
K-非常极光滑空间
4) K uniformly smooth space
K-致极凸空间
5) k-very convex
k-非常凸
1.
The generalized notions of k-very convex,k-very smooth and(weakly) midpoint locally k-uniformly smooth are introduced respectively,and the relationship between them and the other kconvex(k-smooth) are discussed.
引入推广的Banach空间的k-非常凸、k-非常光滑、(弱)中点局部k-一致光滑性的概念,讨论了它们与其它k-凸性(k-光滑性)之间的关系,证明k-非常凸性和k-非常光滑性具有对偶性质,(弱)中点局部k-一致光滑性与(弱)中点局部k-一致凸性具有对偶性质。
2.
In this paper we introduce a new K convex space, that is K-very convex space with K smooth dual space.
本文引入了一种新的K凸空间K-非常凸空间,及其对偶空间K-非常光滑空间,它们分别是非常凸空间和非常光滑空间的推广但又严格弱于非常凸空间和非常光滑空间,因此它们又有许多独特的性质。
6) k-very convex space
k非常凸
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。
补充资料：人极
1.纲纪，纲常。社会的准则。
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