Bochner integrals in ordered vector spaces
Abstract 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 or...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
van Rooij, A. C. M. [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2016 |
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| Schlagwörter: |
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| Anmerkung: |
© The Author(s) 2016 |
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| Übergeordnetes Werk: |
Enthalten in: Positivity - Springer International Publishing, 1997, 21(2016), 3 vom: 01. Dez., Seite 1089-1113 |
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| Übergeordnetes Werk: |
volume:21 ; year:2016 ; number:3 ; day:01 ; month:12 ; pages:1089-1113 |
| Links: |
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| DOI / URN: |
10.1007/s11117-016-0454-9 |
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Abstract 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. © The Author(s) 2016 |
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