度量空间C(Rⁿ)中集合列紧性的判定条件及证明  

Judgment Conditions and Proof of Set Sequence Compactness in Metric Space C(Rn)

作　　者：赵明泽 闫宝强[1] 

机构地区：[1]山东师范大学,山东济南

出　　处：《应用数学进展》2019年第4期589-594,共6页Advances in Applied Mathematics

摘　　要：集合列紧在泛函分析中是一个重要的概念。可以将无限问题化为有限情形进行讨论。本文给出了距离空间C(Rn)中集合列紧的充分必要条件。Set sequence compactness is an important concept in functional analysis.Using the sequence compactness,one can turn infinite dimensional problems to finite dimensional problems.In this paper,we give a necessary and sufficient condition for set sequence compactness on metric space C(Rn).

关 键 词：列紧性 C(Rⁿ) ε网 一致有界 等度连续 

分 类 号：O1[理学—数学]