By Şafak Alpay and Mehmet Orhon

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

June 24, 2014

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Characterization of Riesz spaces with topologically full center

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