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...

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Detalles Bibliográficos
Autores principales: van Rooij, A. C. M., van Zuijlen, W. B.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2016
Materias:
Article
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.
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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
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