摘要
针对Banach空间中完备集的相关问题,回顾了完备集这一概念的来源:等宽集的一些基本性质,介绍了完备集的一些性质以及与完备集相关的若干研究问题和相关结果。结果表明,围绕Banach空间中的完备集及其相关问题还有很多待完成的工作。
For the related problems of complete sets in Banach spaces, some fundamental properties of sets of constant width which is the origin of the concept of complete sets are reviewed, and properties of complete sets and research problems and corresponding results related to complete sets are also presented. It is shown that there are much research to be done concerning complete sets and related problems in Banach spaces.
出处
《哈尔滨理工大学学报》
CAS
北大核心
2017年第2期83-89,共7页
Journal of Harbin University of Science and Technology
基金
国家自然科学基金(11371114
11171082
11571085)
关键词
BANACH空间
等宽集
完备集
完备化集
Banach spaces
sets of constant width
complete sets
completion of sets
