Characterization of Riesz Spaces with Topologically Full Center

Alpay S., Orhon M.

7th Positivity Conference, Leiden, Netherlands, 22 - 26 July 2013, pp.35-49, (Full Text)

  • Publication Type: Conference Paper / Full Text
  • City: Leiden
  • Country: Netherlands
  • Page Numbers: pp.35-49
  • Middle East Technical University Affiliated: Yes

Abstract

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.