Characterization of Riesz spaces with topologically full center

Şafak Alpay, 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}…