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Characterization of Riesz Spaces with Topologically Full Center

2013-07-26
Alpay, Safak
Orhon, Mehmet
Let E be a Riesz space and let E-similar to denote its order dual. The orthomorphisms Orth(E) on E, and the ideal center Z(E) of E, are naturally embedded in Orth(E-similar to) and Z(E-similar to) respectively. We construct two unital algebra and order- continuous Riesz homomorphisms.