| 摘要: |
| 紧性概念是泛函分析的重要内容,在现代分析学中应用广泛；考虑lp,p≥2空间上的集合紧性问题,证明了Mlp为预紧集的重要条件是M一致有界且一致收敛,并给出了一个应用实例. |
| 关键词: 无穷序列空间 预紧集 ε 网 一致收敛 |
| DOI： |
| 分类号: |
| 基金项目: |
|
| Discussion on the Compactness in Space of Infinite Sequences |
|
ZHAO Wen qiang, ZHANG Yi jin
|
| 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. |
| Key words: space of infinite sequences pre compact set ε net uniform convergence |
