1) Uniformly compact bounded variation

一致紧囿
2) uniformly compact

一致紧
1.
in this paper the writer proves that:Let X and Y be two Hausdorff topological spaces, G be a multivalued mapping from Y to X satisfying Vy ∈ Y, G(y) be nonempty subset, G be uniformly compact near y and G be continuous at y, Z be a space of all continuous function.
本文证明了:设X和Y是两个Hausdorff拓扑空间,G是从Y到X的多值映射,满足y∈Y,G(y)是X中的非空子集,G在y邻近是一致紧的,且G在y是连续的,Z是X×Y上所有连续函数所成的空间,则yn∈Y,fn∈Z
4) not a park standard

不囿一格
5) uniformly random compact

一致随机紧
6) compact(weakly compact) uniformly convexity

紧(弱紧)一致凸
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:局囿
1.局限,限制。
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