Integrals for functions with values in a partially ordered vector space
arXiv:1505.05997 · doi:10.1007/s11117-015-0392-y
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.