On the Scole of a Noncommutative Jordan Algebra.
A. Fernandez López, Rodriguez P. A. (1986)
Manuscripta mathematica
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A. Fernandez López, Rodriguez P. A. (1986)
Manuscripta mathematica
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Eberhard Neher (1979)
Mathematische Zeitschrift
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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.
Bernard Aupetit (1994)
Banach Center Publications
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Antonio Fernández López (1992)
Publicacions Matemàtiques
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In this paper we prove that a nondegenerate Jordan algebra satisfying the descending chain condition on the principal inner ideals, also satisfies the ascending chain condition on the annihilators of the principal inner ideals. We also study annihilators in Jordan algebras without nilpotent elements and in JB-algebras.
M. Benslimane, N. Boudi (1996)
Extracta Mathematicae
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J. Alonso, P. Martín, P. L. Papini (2008)
Studia Mathematica
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In recent times, many constants in Banach spaces have been defined and/or studied. Relations and inequalities among them (sometimes very complicated) have been indicated. But not much effort has been devoted to organize all connections, also because the literature on the subject is growing at an always bigger rate. Here we give some new connections which better the insight on some of them. In particular, we improve a known inequality between the von Neumann-Jordan and James constants. ...
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].
Antonio Fernández López (1991)
Annales scientifiques de l'Université de Clermont. Mathématiques
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A. Moreno Galindo, A. Rodríguez Palacios (1997)
Extracta Mathematicae
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He Yuan, Liangyun Chen (2016)
Colloquium Mathematicae
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We study Jordan (θ,θ)-superderivations and Jordan triple (θ,θ)-superderivations of superalgebras, using the theory of functional identities in superalgebras. As a consequence, we prove that if A = A₀ ⊕ A₁ is a prime superalgebra with deg(A₁) ≥ 9, then Jordan superderivations and Jordan triple superderivations of A are superderivations of A, and generalized Jordan superderivations and generalized Jordan triple superderivations of A are generalized superderivations of A.
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.
Ottmar Loos (1991)
Mathematische Zeitschrift
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