Note on the Hahn-Banach Theorem in a Partially Ordered Vector Space

Toshiharu Kawasaki; Masashi Toyoda; Toshikazu Watanabe

doi:10.1155/2013/527417

Journal of Applied Mathematics (Jan 2013)

Note on the Hahn-Banach Theorem in a Partially Ordered Vector Space

Toshiharu Kawasaki,
Masashi Toyoda,
Toshikazu Watanabe

Affiliations

Toshiharu Kawasaki: College of Engineering, Nihon University, Naka-gawara, Tokusada, Tamura-machi, Koriyama-shi, Fukushima 963-8642, Japan
Masashi Toyoda: Faculty of Engineering, Tamagawa University, 6-1-1 Tamagawa-gakuen, Machida-shi, Tokyo 194-8610, Japan
Toshikazu Watanabe: Graduate School of Science and Technology, Niigata University, 8050 Ikarashi 2-no-cho, Nishi-ku, Niigata 950-2181, Japan

DOI: https://doi.org/10.1155/2013/527417
Journal volume & issue: Vol. 2013

Abstract

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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.

Published in Journal of Applied Mathematics

ISSN: 1110-757X (Print); 1687-0042 (Online)
Publisher: Hindawi Limited
Country of publisher: United Kingdom
LCC subjects: Science: Mathematics
Website: https://www.hindawi.com/journals/jam/

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