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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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| 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 |
| Sumario: | 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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