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2013 Note on the Hahn-Banach Theorem in a Partially Ordered Vector Space
Toshiharu Kawasaki, Masashi Toyoda, Toshikazu Watanabe
J. Appl. Math. 2013(SI21): 1-5 (2013). DOI: 10.1155/2013/527417

Abstract

Using a fixed point theorem in a partially ordered set, we give a new proof of the Hahn-Banach theorem in the case where the range space is a partially ordered vector space.

Citation

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Toshiharu Kawasaki. Masashi Toyoda. Toshikazu Watanabe. "Note on the Hahn-Banach Theorem in a Partially Ordered Vector Space." J. Appl. Math. 2013 (SI21) 1 - 5, 2013. https://doi.org/10.1155/2013/527417

Information

Published: 2013
First available in Project Euclid: 14 March 2014

zbMATH: 1271.46002
MathSciNet: MR3082003
Digital Object Identifier: 10.1155/2013/527417

Rights: Copyright © 2013 Hindawi

Vol.2013 • No. SI21 • 2013
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