Vector lattices associated with ordered vector spaces
type: Item
instance of: scholarly article
title: Vector lattices associated with ordered vector spaces
zbMATH Open document ID: 1226.46004
author: Richard Becker
published in: Mediterranean Journal of Mathematics
publication date: 2010-10-26T00:00:00Z
review text: The vector lattice generated by a real Archimedean vector space \(V\) is considered. It is proved that the cone \(C\) of all positive linear forms on \(V\) separates elements of \(V\). Then the positive linear forms are determined in terms of conical measures on the cone \(C\).
reviewed by: Beloslav Riečan
Mathematics Subject Classification ID: 46A40
zbMATH DE Number: 5805938
zbMATH Keywords: ordered vector spaces
zbMATH Keywords: vector lattices
zbMATH Keywords: Choquet theory
zbMATH Keywords: conical measures
MaRDI profile type: Publication
full work available at URL: s00009-010-0063-y
OpenAlex ID: W1966334275
cites work: Q3900495
cites work: Partially ordered abelian groups
cites work: The Normal Completion of the Lattice of Continuous Functions
cites work: A new representation of the Dedekind completion of 𝐶(𝐾)-spaces
cites work: Q5638775
cites work: Partially Ordered Sets
cites work: Q5836014
cites work: Lectures on Choquet's theorem
cites work: Embeddings in Vector Lattices
cites work: Q3938202
DOI: 10.1007/S00009-010-0063-Y
description: scientific article; zbMATH DE number 5805938