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Jordan θ-derivations on Lie triple systems
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In this paper we prove that every Jordan θ-derivation on a Lie triple system is a θ-derivation. Specially, we conclude that every Jordan derivation on a Lie triple system is a derivation.
Abstract
In this paper we prove that every Jordan θ-derivation on a Lie triple system is a θ-derivation. Specially, we conclude that every Jordan derivation on a Lie triple system is a derivation.
참고문헌 (5)
- W. Bertram, "The Geometry of Jordan and Lie Structures, Lecture Notes in Math" (2000), Springer-Verlag
- N. Jacobson, "Lie and Jordan triple systems", Amer. J. Math., 71, pp.149~170 (1949)
- N. Jacobson, "General representation theory of Jordan algebras", Trans. Amer. Math. Soc., 70, pp.509~530 (1951)
- W. G. Lister, "A structure theory of Lie triple systems", Trans. Amer. Math. Soc., 72, pp.217~242 (1952)
- M. S. Moslehian, "Generalized Hyers–Ulam stability of mappings on normed Lie triple systems", Math. Inequal. Appl., 11(2), pp.371~380 (2008)
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