Abstract
This paper studies the fuzzy continuity of linear maps from one vector space into another, through a simple characterization of fuzzy convergence of fuzzy points. A fuzzy norm is defined on the set of all fuzzy continuous linear maps from a vector space into another. Convergence of a sequence of fuzzy continuous linear maps to a fuzzy continuous linear map is obtained. It is observed that unlike in the ordinary case, fuzzy normed topological vector spaces cannot be imbedded in their second duals.
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