摘要
将集合论中的等价关系引入到数学分析中,给出了等价数列的概念及若干性质,并举例说明了等价数列在数学分析、线性代数和泛函分析中的应用.
This article introduces the equivalence relationship in set theory into mathematical analysis,proposes the concept of equivalent sequence,obtains several properties of equivalent sequence,and provides examples to illustrate the applications of equivalent sequences in mathematical analysis,linear algebra,and functional analysis.
作者
徐贝宁
许绍元
XU Beining;XU Shaoyuan(School of Mathematics and Statistics,Hubei University,Wuhan 430062,China;School of Mathematics and Statistics,Hanshan Normal College,Chaozhou 521041,Guangdong China)
出处
《吉首大学学报（自然科学版）》
CAS
2024年第2期18-23,共6页
Journal of Jishou University(Natural Sciences Edition)
基金
国家自然科学基金资助项目(12361099)。
关键词
等价数列
等价关系
巴拿赫空间
数列收敛
一致连续
equivalent sequences
equivalence relations
Banach spaces
convergent sequences
uniformly continuous
