1) K-uniform(strong 、strict) convexity
K 一致(强、严格)凸
2) K-uniform(strong 、strict) smoothness
K 一致(强、严格)光滑
3) 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。
4) 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-uniformly convex
K-一致凸
1.
In this paper,a equivalent condition of K-uniformly convex Banach space is given by using functional.
首先利用泛函给出了Banach空间K-一致凸的一个等价条件,然后引进Banach空间K-一致凸的一个新的定义,得到了Banach空间K-一致凸的一个新的等价条件,并将上述结果推广到局部K-一致凸Ba-nach空间的情形。
6) k-uniformly rotund
k一致凸
1.
The k-uniformly rotundity of Ces_p(E_1,E_2);
Ces_p(E_1,E_2)的k一致凸性
补充资料：凸凸
1.高出貌。
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条