1) Δ2-condition
K严格凸性
2) k-strict convexity
k-严格凸
1.
The definitions of k-strict convexity and k-smoothness in locally convex spaces are given by k-dimension convex volume and it is proved that they are the extension of corresponding concepts in Banach spaces and dual(X,P).
利用k维凸体体积给出了局部凸空间中k-严格凸和k-光滑性的定义,证明了它们是B anach空间和偶对(X,P)相应概念的推广,并指出了它们之间的对偶关系。
3) K-strictly convex
K-严格凸
1.
In this paper,we give two new sufficient and necessary conditions for Banach spaces to be K-strictly convex by using Hahn-Banach continuation theorem and the number which is similar to K-dimensions volume.
利用Hahn-Banach延拓定理或与K-维体积相似的数给出了Banach空间K-严格凸的两个新的充要条件。
5) K-uniform(strong 、strict) convexity
K 一致(强、严格)凸
6) k-strictly convex space
k-严格凸空间
补充资料：凸凸
1.高出貌。
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