Bochner integrals in ordered vector spaces
arXiv:1604.06341 · doi:10.1007/s11117-016-0454-9
Abstract
We present a natural way to cover an Archimedean directed ordered vector space by Banach spaces and extend the notion of Bochner integrability to functions with values in . The resulting set of integrable functions is an Archimedean directed ordered vector space and the integral is an order preserving map.