Further Properties of Fuzzy Banach Spaces

Yeol Je Cho, Themistocles M. Rassias and Reza Saadati
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Yeol Je Cho: Gyeongsang National University, Department of Mathematical Education
Themistocles M. Rassias: National Technical University of Athens, Department of Mathematics
Reza Saadati: Iran University of Science and Technology, Department of Mathematics

Chapter Chapter 3 in Fuzzy Operator Theory in Mathematical Analysis, 2018, pp 45-62 from Springer

Abstract: Abstract In this chapter, we consider some important properties of fuzzy Banach spaces. In Section 3.1, we discuss about finite dimensional fuzzy Banach spaces and prove some important theorems on linearly independent set. Next, we prove, in a finite dimensional vector space X, every two fuzzy norms are equivalent. Finally, we study some bounded and continuous linear operators in fuzzy normed spaces.

Keywords: Fuzzy Normed Spaces; Continuous Linear Operator; Vector Space; Finite-dimensional Ones; Operator Fuzzy Norm (search for similar items in EconPapers)
Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-93501-0_3

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DOI: 10.1007/978-3-319-93501-0_3

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