Compatible preorders and linear operators on \({\mathbb{R}}^ n\)

DOI10.1016/0024-3795(91)90209-FzbMath0726.15014MaRDI QIDQ802700

Ivan Singer, Juan-Enrique Martinez-Legaz

Publication date: 1991

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

zbMATH Keywords

ordered grouplinear operatorstotal ordersquasiorderscompatible preorderpreordered vector spaceSzpilrajn theorem

Mathematics Subject Classification ID

Positive matrices and their generalizations; cones of matrices (15B48) Ordered abelian groups, Riesz groups, ordered linear spaces (06F20)

Related Items

On a possible continuous analogue of the Szpilrajn theorem and its strengthening by Dushnik and Miller, Convex decompositions and the valence of some functions, Max-plus convex sets and max-plus semispaces. II, On \(\Phi\)-convexity of convex functions

Cites Work

• Lexicographical order, lexicographical index, and linear operators
• The structure of hemispaces in \({\mathbb{R}}^ n\)
• Lexicographical separation in \({\mathbb{R}}^ n\)
• Exact quasiconvex conjugation
• Surrogate duality for vector optimization
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