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arXiv · 1505.05997

Integrals for functions with values in a partially ordered vector space

Arnoud van Rooij·Willem van Zuijlen
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Abstract

We consider integration of functions with values in a partially ordered vector space, and two notions of extension of the space of integrable functions. Applying both extensions to the space of real valued simple functions on a measure space leads to the classical space of integrable functions.

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Arnoud van Rooij, Willem van Zuijlen. 2015-05-22. Integrals for functions with values in a partially ordered vector space. https://doi.org/10.1007/s11117-015-0392-y

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