On functional inequalities originating from module Jordan left derivations.
Kim, Hark-Mahn, Kang, Sheon-Young, Chang, Ick-Soon (2008)
Journal of Inequalities and Applications [electronic only]
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Kim, Hark-Mahn, Kang, Sheon-Young, Chang, Ick-Soon (2008)
Journal of Inequalities and Applications [electronic only]
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Driss, Aiat Hadj Ahmed, Ben Yakoub, L'Moufadal (2005)
International Journal of Mathematics and Mathematical Sciences
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Matej Brešar, Borut Zalar (1992)
Colloquium Mathematicae
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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.
Yan, Dangui, Zhang, Chengchang (2011)
International Journal of Mathematics and Mathematical Sciences
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Feng Wei, Zhankui Xiao (2009)
Rendiconti del Seminario Matematico della Università di Padova
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An, Runling, Hou, Jinchuan (2010)
ELA. The Electronic Journal of Linear Algebra [electronic only]
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Motoshi Hongan, Nadeem Ur Rehman, Radwan Mohammed AL-Omary (2011)
Rendiconti del Seminario Matematico della Università di Padova
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Peter Šemrl (1990)
Colloquium Mathematicae
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Zaidi, S.M.A., Ashraf, Mohammad, Ali, Shakir (2004)
International Journal of Mathematics and Mathematical Sciences
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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. ...