Order dual (functional analysis)
id:
order-dual-functional-analysis-245-18563525
title:
Order dual (functional analysis)
text:
In mathematics, specifically in order theory and functional analysis, the order dual of an ordered vector space X is the set Pos − Pos where Pos denotes the set of all positive linear functionals on X , where a linear function f on X is called positive if for all x ∈ X , x ≥ 0 implies f ≥ 0. The order dual of X is denoted by X + . Along with the related concept of the order bound dual, this space plays an important role in the theory of ordered topological vector spaces.
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wiki
category slug:
encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Order_dual_(functional_analysis)
date created:
date modified:
2022-11-02T23:07:41Z
main entity:
{"identifier":"Q96397662","url":"https://www.wikidata.org/entity/Q96397662"}
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fields total:
13
integrity:
13