Fuzzy barrels on locally convex fuzzy topological vector spaces

Fuzzy barrels on locally convex fuzzy topological vector spaces

In this paper, we introduce the concept of fuzzy barrels on locally convex fuzzy topological vector spaces. We present some characterizations of the fuzzy locally convex spaces, which are fuzzy barrelled. Using fuzzy barrels, we prove that the same fuzzy sets are bounded in any fuzzy topology of dua...

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Veröffentlicht in:Mathematical notes (Miskolci Egyetem (Hungary)) 2020, Vol.21 (2), p.781-790
Hauptverfasser: Daraby, B., Khosravi, N., Rahimi, A.
Format: Artikel
Sprache:eng
Schlagworte:
Barrels
Fuzzy sets
Topology
Vector spaces
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Zusammenfassung:In this paper, we introduce the concept of fuzzy barrels on locally convex fuzzy topological vector spaces. We present some characterizations of the fuzzy locally convex spaces, which are fuzzy barrelled. Using fuzzy barrels, we prove that the same fuzzy sets are bounded in any fuzzy topology of dual pair. Finally, we prove the Banach-Steinhaus theorem for the fuzzy topological vector spaces.
ISSN:1787-2405
1787-2413
DOI:10.18514/MMN.2020.3197