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

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.

Bibliographic Details
Main Authors: Toshiharu Kawasaki, Masashi Toyoda, Toshikazu Watanabe
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2013/527417