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Numerical representation of topological real algebras
Representación numérica de álgebras reales topológicas
DOI:
https://doi.org/10.15446/recolma.v57n1.112429Palabras clave:
Gelfand-Mazur's theorem, Real algebra, Continuous numerical representations of total pre-orders (en)Teorema de Gelfand-Mazur, álgebra real, representaciones reales continuas numéricas de preóordenes (es)
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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.
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.
Referencias
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