Fuzzy Normed Linear Spaces Generated by Linear Functionals

2023 · doi:10.20944/preprints202309.1835.v1
preprint OA: closed CC-BY-4.0
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Abstract

For a nonzero normed linear space X‎, ‎we will define some different classes of fuzzy norms on X generated by linear and bounded linear functionals‎. ‎Also separate continuity of the elements of each class are investigated‎. ‎The aim of this research is to introduce a source of examples and counterexamples in the field of fuzzy normed spaces‎.

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License: CC-BY-4.0