Numerical representation of topological real algebras

• Gastáo Bettencourt ^[1] ; Sergio Mendes ^[1]
  1. [1] Universidade da Beira Interior

     Universidade da Beira Interior

     Covilhã (Conceição), Portugal

     
• Localización: Revista Colombiana de Matemáticas, ISSN-e 0034-7426, Vol. 57, Nº. 1, 2023, págs. 103-113
• Idioma: varios idiomas
• Títulos paralelos:
  • Representación numérica de álgebras reales topológicas
• Enlaces
  • Texto completo
• Resumen
  • español

    Utilizamos que el isomorfismo dado por el teorema de Gelfand-Mazur para álgebras reales de Banach reales preordenadas conmutativas con unidad a su vez define una representación numérica compatible con la estructura de orden.

  • Multiple

    We show that the isomorphism provided by the Gelfand-Mazur theorem for a commutative pre-ordered real Banach algebra A with unit defines a numerical representation which is compatible with the order structure.

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