Abstract
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.
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