Hyers-Ulam-Rassias stability of derivations in proper Jordan \(CQ^*\)-algebras (Q653908)

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scientific article; zbMATH DE number 5990813
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Hyers-Ulam-Rassias stability of derivations in proper Jordan \(CQ^*\)-algebras
scientific article; zbMATH DE number 5990813

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    Hyers-Ulam-Rassias stability of derivations in proper Jordan \(CQ^*\)-algebras (English)
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    20 December 2011
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    The authors prove the stability of derivations in proper Jordan \(CQ^*\)-algebras associated to the Pexiderized Jensen type functional equation \(kf(\frac{x + y}{k}) = f_0(x) + f_1(y)\) by using the standard direct method. The paper is, in essence, similar to the papers of \textit{C. Park} and \textit{Th. M. Rassias} [J. Math. Anal. Appl. 337, No.~2, 1404--1414 (2008; Zbl 1147.39012)] and \textit{A. Najati}, \textit{G. Zamani Eskandani} and \textit{C. Park} [Bull. Korean Math. Soc. 46, No.~1, 45--60 (2009; Zbl 1175.39023)].
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    Hyers-Ulam-Rassias stability
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    proper Jordan \(CQ^*\)-algebra
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    Jordan derivation
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    Pexiderized Jensen type functional equation
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