(Cham (ZG) : Springer International Publishing AG, 2016) van Rooij, A.C.M.; van Zuijlen, W.B.
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.
