Order antimorphisms of finite-dimensional cones

• Cormac Walsh ^[1]
  1. [1] University of Paris-Saclay

     University of Paris-Saclay

     Arrondissement de Palaiseau, Francia

     
• Localización: Selecta Mathematica, New Series, ISSN 1022-1824, Vol. 26, Nº. 4, 2020
• Idioma: inglés
• DOI: 10.1007/s00029-020-00583-5
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• Resumen

  • We show that an order antimorphism on a finite-dimensional cone having no one-dimensional factors is homogeneous of degree −1. A consequence is that the only finite-dimensional cones admitting an order antimorphism are the symmetric cones.