Abstract and Applied Analysis

The Hahn-Banach Extension Theorem for Fuzzy Normed Spaces Revisited

Carmen Alegre and Salvador Romaguera

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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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Abstr. Appl. Anal., Volume 2014 (2014), Article ID 151472, 7 pages.

First available in Project Euclid: 2 October 2014

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Alegre, Carmen; Romaguera, Salvador. The Hahn-Banach Extension Theorem for Fuzzy Normed Spaces Revisited. Abstr. Appl. Anal. 2014 (2014), Article ID 151472, 7 pages. doi:10.1155/2014/151472. https://projecteuclid.org/euclid.aaa/1412277019

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