Positive projections and Jordan structure in operator algebras.
Erling Stormer, Edward G. Effros (1979)
Mathematica Scandinavica
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Erling Stormer, Edward G. Effros (1979)
Mathematica Scandinavica
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Wilhelm Kaup (1984)
Mathematica Scandinavica
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Matej Brešar, Borut Zalar (1992)
Colloquium Mathematicae
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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.
Abbas Najati (2010)
Czechoslovak Mathematical Journal
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Under some conditions we prove that every generalized Jordan triple derivation on a Lie triple system is a generalized derivation. Specially, we conclude that every Jordan triple -derivation on a Lie triple system is a -derivation.
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.
Peter Šemrl (1990)
Colloquium Mathematicae
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Dilian Yang (2005)
Colloquium Mathematicae
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Motivated by Problem 2 in [2], Jordan *-derivation pairs and n-Jordan *-mappings are studied. From the results on these mappings, an affirmative answer to Problem 2 in [2] is given when E = F in (1) or when 𝓐 is unital. For the general case, we prove that every Jordan *-derivation pair is automatically real-linear. Furthermore, a characterization of a non-normal prime *-ring under some mild assumptions and a representation theorem for quasi-quadratic functionals are provided. ...
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.
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.
A. Fernandez López, Rodriguez P. A. (1986)
Manuscripta mathematica
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