Separating Points from Closed Convex Sets over ordered Fields and a Metric for ~ R n

DOI10.2307/2001856zbMath0756.46001OpenAlexW4248969393MaRDI QIDQ3979964

Robert O. Robson

Publication date: 26 June 1992

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2001856

zbMATH Keywords

real spectrumseparation theoremcompact convex subsetreal closed fieldsarbitrary ordered fieldsaffine continuous functional

Mathematics Subject Classification ID

Theorems of Hahn-Banach type; extension and lifting of functionals and operators (46A22) Functional analysis over fields other than (mathbb{R}) or (mathbb{C}) or the quaternions; non-Archimedean functional analysis (46S10) Other ``topological linear spaces (convergence spaces, ranked spaces, spaces with a metric taking values in an ordered structure more general than (mathbb{R}), etc.) (46A19) Convex sets in topological linear spaces; Choquet theory (46A55) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) Ordered fields (12J15)

Related Items (3)

Facial structure of matrix convex sets ⋮ Convex polarities over ordered fields ⋮ Discrete orderings in the real spectrum

This page was built for publication: Separating Points from Closed Convex Sets over ordered Fields and a Metric for ~ R   n