Faculty of Mathematics and Computer ScienceA. Mickiewicz University
Cite this article as:
Wnuk, W. Positivity (2011) 15: 73. doi:10.1007/s11117-009-0042-3
Order properties of quotient Riesz spaces E/N(f) by null ideals N(f) are investigated. We show relationships between properties of a Riesz space E and its order dual E~ and properties of quotients E/N(f) where f runs over some subspaces of E~. A characterization of metrizable locally convex topological Riesz spaces whose all quotients (by proper closed ideals) are discrete is also given.