Note on the Hahn-Banach Theorem in a Partially Ordered Vector Space-Reference-Cited by-同舟云学术

登录注册会员服务联系我们

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

Published:2013 Issue: Volume:2013 Page:1-5
ISSN:1110-757X
Container-title:Journal of Applied Mathematics
language:en
Short-container-title:Journal of Applied Mathematics

Author:

Kawasaki Toshiharu¹,Toyoda Masashi²,Watanabe Toshikazu³

Affiliation:

1. College of Engineering, Nihon University, Naka-gawara, Tokusada, Tamura-machi, Koriyama-shi, Fukushima 963-8642, Japan

2. Faculty of Engineering, Tamagawa University, 6-1-1 Tamagawa-gakuen, Machida-shi, Tokyo 194-8610, Japan

3. Graduate School of Science and Technology, Niigata University, 8050 Ikarashi 2-no-cho, Nishi-ku, Niigata 950-2181, Japan

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.

Publisher

Hindawi Limited

Subject

Applied Mathematics

Link

http://downloads.hindawi.com/journals/jam/2013/527417.pdf

Reference15 articles.

1. A generalization of the Hahn-Banach theorem

2. Two fixed-point theorems concerning bicompact convex sets

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线，采集、加工和组织学术论文而形成的新型学术文献查询和分析系统，可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容，当前同舟云学术共收录了国内外主流学术期刊6万余种，收集的期刊论文及会议论文总量共计约1.5亿篇，并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询！咨询电话：010-8811{复制后删除}0370

www.globalauthorid.com

TOP