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Bochner integrals in ordered vector spaces
We present a natural way to cover an Archimedean directed ordered vector space E by Banach spaces and extend the notion of Bochner integrability to functions with values in E. The resulting set of integrable functions is an Archimedean directed ordered vector space and the integral is an order prese...
Autores principales: | , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Springer International Publishing
2016
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6979497/ https://www.ncbi.nlm.nih.gov/pubmed/32025189 http://dx.doi.org/10.1007/s11117-016-0454-9 |
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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 present a natural way to cover an Archimedean directed ordered vector space E by Banach spaces and extend the notion of Bochner integrability to functions with values in E. The resulting set of integrable functions is an Archimedean directed ordered vector space and the integral is an order preserving map. |
format | Online Article Text |
id | pubmed-6979497 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2016 |
publisher | Springer International Publishing |
record_format | MEDLINE/PubMed |
spelling | pubmed-69794972020-02-03 Bochner integrals in ordered vector spaces van Rooij, A. C. M. van Zuijlen, W. B. Positivity (Dordr) Article We present a natural way to cover an Archimedean directed ordered vector space E by Banach spaces and extend the notion of Bochner integrability to functions with values in E. The resulting set of integrable functions is an Archimedean directed ordered vector space and the integral is an order preserving map. Springer International Publishing 2016-12-01 2017 /pmc/articles/PMC6979497/ /pubmed/32025189 http://dx.doi.org/10.1007/s11117-016-0454-9 Text en © The Author(s) 2016 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. Bochner integrals in ordered vector spaces |
title | Bochner integrals in ordered vector spaces |
title_full | Bochner integrals in ordered vector spaces |
title_fullStr | Bochner integrals in ordered vector spaces |
title_full_unstemmed | Bochner integrals in ordered vector spaces |
title_short | Bochner integrals in ordered vector spaces |
title_sort | bochner integrals in ordered vector spaces |
topic | Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6979497/ https://www.ncbi.nlm.nih.gov/pubmed/32025189 http://dx.doi.org/10.1007/s11117-016-0454-9 |
work_keys_str_mv | AT vanrooijacm bochnerintegralsinorderedvectorspaces AT vanzuijlenwb bochnerintegralsinorderedvectorspaces |