Journal of Jishou University(Natural Sciences Edition) ›› 2024, Vol. 45 ›› Issue (2): 18-23.DOI: 10.13438/j.cnki.jdzk.2024.02.003

• Mathematics • Previous Articles     Next Articles

Properties of Equivalent Sequences and Applications

XU Beining,XU Shaoyuan   

  1. (1.School of Mathematics and Statistics,Hubei University,Wuhan 430062,China;2.School of Mathematics and Statistics,Hanshan Normal College,Chaozhou 521041,Guangdong China)
  • Online:2024-03-25 Published:2024-04-16

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 provides examples to illustrate the applications of equivalent sequences in mathematical analysis,linear algebra,and functional analysis.

Key words: equivalent sequences, equivalence relations, Banach spaces, convergent sequences, uniformly continuous

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