Characterization of Riesz spaces with topologically full center

Let E be a Riesz space and let E^{\sim} denote its order dual. The orthomorphisms Orth(E) on E, and the ideal center Z(E) of E, are naturally embedded in Orth(E^{\sim}) and Z(E^{\sim}) respectively. We construct two unital algebra and order continuous Riesz homomorphisms \[ \gamma:((Orth(E))^{\sim})_{n}^{\sim}\rightarrow Orth(E^{\sim})\text{ }% \] and \[... Show more