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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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.
M. Brešar, A. R. Villena (2001)
Studia Mathematica
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The questions when a derivation on a Jordan-Banach algebra has quasi-nilpotent values, and when it has the range in the radical, are discussed.
Günther Horn (1987)
Mathematische Zeitschrift
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Eberhard Neher (1979)
Mathematische Zeitschrift
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Peter Šemrl (1990)
Colloquium Mathematicae
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M. Benslimane, N. Boudi (1996)
Extracta Mathematicae
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A. Fernandez López, Rodriguez P. A. (1986)
Manuscripta mathematica
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A. Fernández López, E. García Rus, E. Sánchez Campos (1989)
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].
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.
Sara Shafiq, Muhammad Aslam (2017)
Open Mathematics
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In this paper, the notions of Jordan homomorphism and Jordan derivation of inverse semirings are introduced. A few results of Herstein and Brešar on Jordan homomorphisms and Jordan derivations of rings are generalized in the setting of inverse semirings.
J. Harkness (1893/94)
Bulletin of the New York Mathematical Society
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A. Moreno Galindo, A. Rodríguez Palacios (1997)
Extracta Mathematicae
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