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arXiv · 1604.06341

Bochner integrals in ordered vector spaces

Arnoud van Rooij·Willem van Zuijlen
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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.

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Arnoud van Rooij, Willem van Zuijlen. 2016-04-21. Bochner integrals in ordered vector spaces. https://doi.org/10.1007/s11117-016-0454-9

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