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

Toshiharu Kawasaki | Zendy; Masashi Toyoda | Zendy; Toshikazu Watanabe | Zendy

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

Author(s) -

Toshiharu Kawasaki,

Masashi Toyoda,

Toshikazu Watanabe

Publication year - 2013

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2013/527417

Subject(s) - ordered vector space , mathematics , banach space , infinite dimensional vector function , pure mathematics , fixed point theorem , space (punctuation) , eberlein–šmulian theorem , picard–lindelöf theorem , set (abstract data type) , point (geometry) , discrete mathematics , interpolation space , lp space , computer science , functional analysis , geometry , biochemistry , chemistry , gene , programming language , operating system

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.

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