| Jordan导子的稳定性 |
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| 引用本文： | 张红红,纪培胜.Jordan导子的稳定性[J].青岛大学学报(自然科学版),2008,21(4):20-23. |
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| 作者姓名： | 张红红 纪培胜 |
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| 作者单位： | 青岛大学数学科学学院,山东,青岛,266071 |
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| 基金项目： | 国家自然科学基金(10675086); 山东省自然科学基金(Y2006A03) |
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| 摘 要： | 关于函数方程的稳定性问题已经有很多学者做过大量研究，在此基础上主要讨论了Jordan导子的稳定性。结合广义Jensen等式f（（x＋y）／K）=（f（x）＋f（y））／K，证明了赋范代数到Banach代数上的Jordan导子具有广义Hyers—Ulam—Rassias稳定性。
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| 关 键 词： | Hyers—Ulam—Rassias稳定性 赋范代数 JORDAN导子 |
Stability of Jordan Derivations |
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| ZHANG Hong-hong,JI Pei-sheng.Stability of Jordan Derivations[J].Journal of Qingdao University(Natural Science Edition),2008,21(4):20-23. |
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| Authors: | ZHANG Hong-hong JI Pei-sheng |
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| Institution: | (College of Mathematics, Qingdao University, Qingdao 266071, China) |
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| Abstract: | The stability problem of functional equations has been studied by many authors.Based on these results the stability of Jordan derivations is studied.Associated to a generalized Jensen's equation f((x+y)/K)=(f(x)+f(y))/K,it is proved that the generalized Hyers-Ulam-Rassias stability of Jordan derivations form a normed algebra onto a Banach algebra. |
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| Keywords: | Hyers-Ulam-Rassias stability normed algebra Jordan derivations |
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