Locally Convex Topologies Induced by Fuzzy Norms

Authors

  • Athanasios K. Katsaras Department of Mathematics, University of Ioannina, Greece

DOI:

https://doi.org/10.14419/gjma.v1i3.1046

Abstract

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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Published

15-06-2013

Issue

Vol. 1 No. 3 (2013)

Section

Articles

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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