1) K strictly convex(K smooth) locally convex spaces
K严格凸(K光滑)的局部凸空间
2) k-strictly convex space
k-严格凸空间
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) Δ2-condition
K严格凸性
6) local k-Drop convex space
局部k-drop凸
1.
We introduce the local k-Drop convex space in Banach space.
引入了Banach空间的局部k-drop凸性质,研究了k-drop凸与局部k-drop凸的一些性质以及两者之间的关系,并用单位球的切片统一而简洁地处理了这两个性质。
2.
In this paper,by researching some properties of the local k-Drop convex space we discuss the characteristics of a k-Drop convex space and we find that the k-Drop property is equal to reflexive and k-strict convex.
通过研究局部k-drop凸空间的一些性质,得出了k-drop凸性质与自反且k-严格凸是等价的,同时k-drop凸空间具有商遗传性。
补充资料:陶瓷凸花
陶瓷凸花 见“陶瓷浮雕”。
说明:补充资料仅用于学习参考,请勿用于其它任何用途。
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