Recent trends in the field of Jordan-Banach algebras
Bernard Aupetit (1994)
Banach Center Publications
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Bernard Aupetit (1994)
Banach Center Publications
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Bernard Aupetit (1998)
Monatshefte für Mathematik
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Gerald Hessenberger (1996)
Mathematische Zeitschrift
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M. Benslimane, N. Boudi (1996)
Extracta Mathematicae
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A. Moreno Galindo (1997)
Studia Mathematica
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For = ℝ or ℂ we exhibit a Jordan-algebra norm ⎮·⎮ on the simple associative algebra with the property that Jordan polynomials over are precisely those associative polynomials over which act ⎮·⎮-continuously on . This analytic determination of Jordan polynomials improves the one recently obtained in [5].
J. Martinez Moreno (1991)
Annales scientifiques de l'Université de Clermont. Mathématiques
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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.
A. Moreno Galindo, A. Rodríguez Palacios (1997)
Extracta Mathematicae
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A. Fernandez López, Rodriguez P. A. (1986)
Manuscripta mathematica
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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.