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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.
Autores principales: | , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Springer International Publishing
2015
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Materias: | |
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. |
format | Online Article Text |
id | pubmed-7115105 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2015 |
publisher | Springer International Publishing |
record_format | MEDLINE/PubMed |
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 |