A Study of Spaces of Sequences in Fuzzy Normed Spaces

Ju-Myung Kim and Keun-Young Lee
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Ju-Myung Kim: Department of Mathematics and Statistics, Sejong University, Seoul 05006, Korea
Keun-Young Lee: Department of Mathematics and Statistics, Sejong University, Seoul 05006, Korea

Mathematics, 2021, vol. 9, issue 9, 1-16

Abstract: In this paper, spaces of sequences in fuzzy normed spaces are considered. These spaces are a new concept in fuzzy normed spaces. We develop fuzzy norms for spaces of sequences in fuzzy normed spaces. Especially, we study the representation of the dual of a space of sequences in a fuzzy normed space. The approximation property in our context is investigated.

Keywords: bounded sequences; null sequences; strong fuzzy dual; approximation property; bounded approximation property (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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