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Fuzzy barrels on locally convex fuzzy topological vector spaces
[摘要] ‎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.
[发布日期]  [发布机构] 
[效力级别]  [学科分类] 数学(综合)
[关键词] polar fuzzy sets;fuzzy barrel;fuzzy barrelled spaces [时效性] 
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