Jordan Algebras and Symmetric Siegel Domains in Banach Spaces.
Wilhelm Kaup, Harald Upmeier (1977)
Mathematische Zeitschrift
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Wilhelm Kaup, Harald Upmeier (1977)
Mathematische Zeitschrift
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A. Fernández López, E. García Rus, E. Sánchez Campos (1989)
Extracta Mathematicae
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Bernard Aupetit (1994)
Banach Center Publications
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M. Benslimane, N. Boudi (1996)
Extracta Mathematicae
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A. Villena (1996)
Studia Mathematica
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We establish that all derivations on a semisimple Jordan-Banach algebra are automatically continuous. By showing that "almost all" primitive ideals in the algebra are invariant under a given derivation, the general case is reduced to that of primitive Jordan-Banach algebras.
A. Moreno Galindo (1999)
Studia Mathematica
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We prove that, if A is an associative algebra with two commuting involutions τ and π, if A is a τ-π-tight envelope of the Jordan Triple System T:=H(A,τ) ∩ S(A,π), and if T is nondegenerate, then every complete norm on T making the triple product continuous is equivalent to the restriction to T of an algebra norm on A.
Bruno Iochum, Guy Loupias (1991)
Annales scientifiques de l'Université de Clermont. Mathématiques
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Gerald Hessenberger (1996)
Collectanea Mathematica
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For Banach Jordan algebras and pairs the spectrum is proved to be related to the spectrum in a Banach algebra. Consequently, it is an analytic multifunction, upper semicontinuous with a dense G delta-set of points of continuity, and the scarcity theorem holds.
A. Castellón Serrano, J. A. Cuenca Mira (1992)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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