Alpay, ŞafakErcan, Zafer2021-06-232021-06-2320091385-12921572-9281https://doi.org/10.1007/s11117-008-2227-6https://hdl.handle.net/20.500.12491/65415th Positivity Conference -- JUL 23-27, 2007 -- Queen Univ, Belfast, IRELANDA Riesz space E is said to have b-property if each subset which is order bounded in E-similar to similar to is order bounded in E. The relationship between b-property and completeness, being a retract and the absolute weak topology vertical bar sigma vertical bar (E-similar to, E) is studied. Perfect Riesz spaces are characterized in terms of b-property. It is shown that b-property coincides with the Levi property in Dedekind complete Frechet lattices.eninfo:eu-repo/semantics/closedAccessRiesz SpacesB-propertyLocally Solid Riesz SpacesLevi PropertyConference Object10.1007/s11117-008-2227-613121302-s2.0-58049194232Q2WOS:000261986000003Q4