Locally Convex Topologies Induced by Fuzzy Norms
DOI:
https://doi.org/10.14419/gjma.v1i3.1046الملخص
It is shown that a Hausdorff topological vector space E is fuzzy normable iff its topology is a metrizable locally convex topology. Subspaces, product and quotient spaces of fuzzy normed spaces are investigated. Also the notion of the tensor product of two fuzzy normed norms is introduced and it is proved that the induced locally convex topology coincides with the projective tensor product topology.
التنزيلات
منشور
15-06-2013
إصدار
القسم
Articles
الرخصة
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كيفية الاقتباس
Katsaras, A. K. (2013). Locally Convex Topologies Induced by Fuzzy Norms. Global Journal of Mathematical Analysis, 1(3), 83-96. https://doi.org/10.14419/gjma.v1i3.1046