| 关于紧性的一个注记 |
| |
| 引用本文： | 钱颂伟.关于紧性的一个注记[J].华南理工大学学报(自然科学版),1987(3). |
| |
| 作者姓名： | 钱颂伟 |
| |
| 作者单位： | 华南工学院数力系 |
| |
| 摘 要： | 在文1]、2]中,A.Robinson和D.G.Tacon用非标准分析的方法给出了集合是紧的、算子是紧的和一族算子是集紧的充要条件。本注记的目的就是用超积的方法给出这些结果。作为一个应用,我们推广了幂紧算子定理。
|
| 关 键 词： | 泛函分析 巴拿赫空间 紧算子 超积 集紧 幂紧 |
A NOTE ON COMPACTNESS |
| |
| Qian Songwei Dept.of Math & Mech.,South China Inst.of Tech..A NOTE ON COMPACTNESS[J].Journal of South China University of Technology(Natural Science Edition),1987(3). |
| |
| Authors: | Qian Songwei Deptof Math & Mech South China Instof Tech |
| |
| Abstract: | In1]and2],A.Robinson and D.G.Tacon,using themethods of nonstandard analysis,gave the sufficient and necessaryconditions under which a set is compact,an operator is compactand a family of operators is collectively compact.The purpose ofthis note is to give the results by means of ultraproduct.As anapplication,he extends the power compact operators theorem. |
| |
| Keywords: | functional analysis banach space compact operator ultraproduct collectively compact power compactness |
| 本文献已被 CNKI 等数据库收录！ |
|
