Title: Extensions of Set-valued Mapping on Non-Dedeking complete Ordered Topological Vector Spaces
Abstract: In functional analysis,the classical Hahn-Banach extension theorem and most of its generalization play a very important role on condition that the value space must be a Dedekind complete vector space.In this paper,we also show that a extension theorem concerning set-valued mapping that the value space is a partially ordered topological vector space which the order is induced by cone but not a Dedeking complete vector space.
Publication Year: 2010
Publication Date: 2010-01-01
Language: en
Type: article
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