caa a22 4500 38809222X CHVBK 20180307125254.0 cr unu---uuuuu 161130e199908 xx s 000 0 eng 10.1017/S0004972700033323 doi S0004972700033323 pii (NATIONALLICENCE)cambridge-10.1017/S0004972700033323 Order preserving functions on ordered topological vector spaces [Elektronische Daten] In this paper we prove the existence of continuous order preserving functions on ordered topological vector spaces in an infinite-dimensional setting. In a certain class of topological vector spaces we prove the existence of topologies for which every continuous total preorder has a continuous order preserving representation and show that the Mackey topology is the finest topology with this property. We also prove similar representation theorems for reflexive Banach spaces and for Banach spaces that may not have a pre-dual. Copyright © Australian Mathematical Society 1999 Candeal J.C. Universidad de Zaragoza Departamento de Análisis Económico Facultad de Ciencias Economicás y Empresariales 50005 Zaragoza Spain Induráin E. Universidad Pública de Navarra Departamento de Matemáticas e Informática Campus Arrosadia s.n. E-31006 Pamplona Spain Mehta G.B. University of Queensland Department of Economics Queensland 4072 Australia Bulletin of the Australian Mathematical Society Cambridge University Press 60/1(1999-08), 55-65 0004-9727 60:1<55 1999 60 BAZ https://doi.org/10.1017/S0004972700033323 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1017/S0004972700033323 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Candeal J.C. Universidad de Zaragoza Departamento de Análisis Económico Facultad de Ciencias Economicás y Empresariales 50005 Zaragoza Spain NATIONALLICENCE 700 1- Induráin E. Universidad Pública de Navarra Departamento de Matemáticas e Informática Campus Arrosadia s.n. E-31006 Pamplona Spain NATIONALLICENCE 700 1- Mehta G.B. University of Queensland Department of Economics Queensland 4072 Australia NATIONALLICENCE 773 0- Bulletin of the Australian Mathematical Society Cambridge University Press 60/1(1999-08), 55-65 0004-9727 60:1<55 1999 60 BAZ CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-cambridge