Integrals for functions with values in a partially ordered vector space

We consider integration of functions with values in a partially ordered vector space, and two notions of extension of the space of integrable functions. Applying both extensions to the space of real valued simple functions on a measure space leads to the classical space of integrable functions.

Detalles Bibliográficos
Autores principales: van Rooij, A. C. M., van Zuijlen, W. B.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2015
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7115105/
https://www.ncbi.nlm.nih.gov/pubmed/32269497
http://dx.doi.org/10.1007/s11117-015-0392-y
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author van Rooij, A. C. M.
van Zuijlen, W. B.
author_facet van Rooij, A. C. M.
van Zuijlen, W. B.
author_sort van Rooij, A. C. M.
collection PubMed
description We consider integration of functions with values in a partially ordered vector space, and two notions of extension of the space of integrable functions. Applying both extensions to the space of real valued simple functions on a measure space leads to the classical space of integrable functions.
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spelling pubmed-71151052020-04-06 Integrals for functions with values in a partially ordered vector space van Rooij, A. C. M. van Zuijlen, W. B. Positivity (Dordr) Article We consider integration of functions with values in a partially ordered vector space, and two notions of extension of the space of integrable functions. Applying both extensions to the space of real valued simple functions on a measure space leads to the classical space of integrable functions. Springer International Publishing 2015-12-30 2016 /pmc/articles/PMC7115105/ /pubmed/32269497 http://dx.doi.org/10.1007/s11117-015-0392-y Text en © The Author(s) 2015 Open AccessThis article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Article
van Rooij, A. C. M.
van Zuijlen, W. B.
Integrals for functions with values in a partially ordered vector space
title Integrals for functions with values in a partially ordered vector space
title_full Integrals for functions with values in a partially ordered vector space
title_fullStr Integrals for functions with values in a partially ordered vector space
title_full_unstemmed Integrals for functions with values in a partially ordered vector space
title_short Integrals for functions with values in a partially ordered vector space
title_sort integrals for functions with values in a partially ordered vector space
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7115105/
https://www.ncbi.nlm.nih.gov/pubmed/32269497
http://dx.doi.org/10.1007/s11117-015-0392-y
work_keys_str_mv AT vanrooijacm integralsforfunctionswithvaluesinapartiallyorderedvectorspace
AT vanzuijlenwb integralsforfunctionswithvaluesinapartiallyorderedvectorspace

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