重庆工商大学学报（自然科学版）2017，Vol.34Issue(1)：45-47,3.DOI:10.16055/j.issn.1672-058X.2017.0001.009
无穷序列空间上紧性问题探讨
Discussion on the Co mpactness in Space of Infinite Sequences
摘要
Abstract
The notion of compactness,which is an important content in functional analysis,is widely used in modern analytical science.In this article,the compactness of set is discussed in lp,p≥2.It is proved that Mlp is pre-compact set in lp if and only if M is uniformly bounded and uniformly convergent.As an application,an example is presented here.关键词
无穷序列空间/预紧集/ε-网/一致收敛Key words
space of infinite sequences/pre-compact set/ε-net/uniform convergence分类
数理科学引用本文复制引用
赵文强,张一进..无穷序列空间上紧性问题探讨[J].重庆工商大学学报（自然科学版）,2017,34(1):45-47,3.基金项目
重庆市自然科学基金（CSTC2014JCYJA00035）；重庆市教委科技项目（KJ1400430）． （）
