吉首大学学报(自然科学版)2024,Vol.45Issue(2):18-23,6.DOI:10.13438/j.cnki.jdzk.2024.02.003
等价数列的性质及应用
Properties of Equivalent Sequences and Applications
摘要
Abstract
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 pro-vides examples to illustrate the applications of equivalent sequences in mathematical analysis,linear alge-bra,and functional analysis.关键词
等价数列/等价关系/巴拿赫空间/数列收敛/一致连续Key words
equivalent sequences/equivalence relations/Banach spaces/convergent sequences/uniformly continuous分类
数理科学引用本文复制引用
徐贝宁,许绍元..等价数列的性质及应用[J].吉首大学学报(自然科学版),2024,45(2):18-23,6.基金项目
国家自然科学基金资助项目(12361099) (12361099)