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Archimedean levels, semispaces, and majorization of convex cones

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Publication:689825
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DOI10.1007/BF01198721zbMath0781.46010MaRDI QIDQ689825

Clemente Zanco, Elisabetta Maluta, Victor Klee

Publication date: 15 November 1993

Published in: Archiv der Mathematik (Search for Journal in Brave)


zbMATH Keywords

cone\(k\)-semispace\(m\)-equivalence classesarchimedean levelmajorization of convex conesmajorized by a cone


Mathematics Subject Classification ID

Convex sets in topological linear spaces; Choquet theory (46A55) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) Ordered topological linear spaces, vector lattices (46A40)




Cites Work

  • Unnamed Item
  • Unnamed Item
  • Boundedness and continuity of linear functionals
  • Utility functions and the 'lin' operation for convex sets
  • Existence of a utility in infinite dimensional partially ordered spaces
  • Concrete semispaces and lexicographic separation of convex sets
  • Maximal convex sets
  • The structure of semispaces
  • A Study of Lexicographic Expected Utility
  • Utility Theory without the Completeness Axiom
  • Ordered Vector Spaces
  • Separation Properties of Convex Cones
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