Generalised weighted composition operators on Maeda-Ogasawara spaces

Every Archimedean Riesz space can be embedded as an order dense subspace of some C∞(X), the Riesz space of all extended continuous functions on a Stonean space X, called its Maeda-Ogasawara space. Furthermore, it is a fact that every Riesz homomorphism between spaces of ordinary continuous functions on compact Hausdorff spaces is a weighted composition operator. We prove that a generalised statement holds for Maeda-Ogasawara spaces and refine these results in case the homomorphism preserves order limits.