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The Hahn-Banach Extension Theorem for Fuzzy Normed Spaces Revisited

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The Hahn-Banach Extension Theorem for Fuzzy Normed Spaces Revisited

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Alegre Gil, MC.; Romaguera Bonilla, S. (2014). The Hahn-Banach Extension Theorem for Fuzzy Normed Spaces Revisited. Abstract and Applied Analysis. 2014:1-8. doi:10.1155/2014/151472

Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/50492

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Title: The Hahn-Banach Extension Theorem for Fuzzy Normed Spaces Revisited
Author:
UPV Unit: Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada
Issued date:
Abstract:
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 ...[+]
Copyrigths: Reconocimiento (by)
Source:
Abstract and Applied Analysis. (issn: 1085-3375 )
DOI: 10.1155/2014/151472
Publisher:
Hindawi Publishing Corporation
Publisher version: http://dx.doi.org/10.1155/2014/151472
Description: Copyright © 2014 C. Alegre and S. Romaguera. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Thanks:
The authors thank the reviewers for their valuable suggestions. They also acknowledge the support of the Spanish Ministry of Economy and Competitiveness under Grant MTM2012-37894-C02-01.
Type: Artículo

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