Locally Convex Topologies Induced by Fuzzy Norms
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2013-06-15 https://doi.org/10.14419/gjma.v1i3.1046 -
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.
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How to Cite
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