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Creators/Authors contains: "Peralta, Antonio M"

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  1. ; ; ; (, Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas)
    We prove that a subspace of a real JBW∗-triple is an M-summand if and only if it is a weak∗-closed triple ideal. As a consequence, M-ideals of real JB∗-triples correspond to norm-closed triple ideals. As in the setting of complex JB∗-triples, a geometric property is characterized in purely algebraic terms. This is a newfangled treatment of the classical notion of M-ideal in the real setting, by a completely new approach necessitated by the unfeasibility of the known arguments from the setting of complex C∗-algebras and JB∗-triples. The results in this note also provide a full characterization of all M-ideals in real C∗-algebras, real JB∗-algebras and real TROs. 
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    Free, publicly-accessible full text available January 1, 2026