Theta Functions for the Special, Formally Real Jordan Algebras. (A Remark on a Paper of H.L. Resnikoff).
J. Dorfmeister (1978)
Inventiones mathematicae
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J. Dorfmeister (1978)
Inventiones mathematicae
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H.L. Resnikoff (1976)
Inventiones mathematicae
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Fangyan Lu (2009)
Studia Mathematica
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We show that every Jordan isomorphism between CSL algebras is the sum of an isomorphism and an anti-isomorphism. Also we show that each Jordan derivation of a CSL algebra is a derivation.
Holger P. Petersson, M.L. Racine (1983)
Manuscripta mathematica
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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.
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].
Eberhard Neher (1979)
Mathematische Zeitschrift
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A. Moreno Galindo, A. Rodríguez Palacios (1997)
Extracta Mathematicae
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Holger P. Petersson (1981)
Mathematische Zeitschrift
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A. Fernandez López, Rodriguez P. A. (1986)
Manuscripta mathematica
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Gerhard Janssen, Klaus Alvermann (1984)
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.