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2014 The Hahn-Banach Extension Theorem for Fuzzy Normed Spaces Revisited
Carmen Alegre, Salvador Romaguera
Abstr. Appl. Anal. 2014: 1-7 (2014). DOI: 10.1155/2014/151472


This paper deals with fuzzy normed spaces in the sense of Cheng and Mordeson. We characterize fuzzy norms in terms of ascending and separating families of seminorms and prove an extension theorem for continuous linear functionals on a fuzzy normed space. Our result generalizes the classical Hahn-Banach extension theorem for normed spaces.


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Carmen Alegre. Salvador Romaguera. "The Hahn-Banach Extension Theorem for Fuzzy Normed Spaces Revisited." Abstr. Appl. Anal. 2014 1 - 7, 2014.


Published: 2014
First available in Project Euclid: 2 October 2014

zbMATH: 07021816
MathSciNet: MR3216032
Digital Object Identifier: 10.1155/2014/151472

Rights: Copyright © 2014 Hindawi

Vol.2014 • 2014
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