| Banach代数上的高阶Jordan-triple导子系的广义Hyers-Ulam-Rassias稳定性 |
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| 引用本文： | 刘莉君.Banach代数上的高阶Jordan-triple导子系的广义Hyers-Ulam-Rassias稳定性[J].纯粹数学与应用数学,2011,27(5):642-649,661. |
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| 作者姓名： | 刘莉君 |
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| 作者单位： | 陕西理工学院数学系,陕西汉中,723000 |
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| 基金项目： | 国家自然科学基金，陕西省自然科学研究计划 |
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| 摘 要： | 针对Banach代数上的高阶Jordan—triple导子系，基于与函数方程有关的广义的Hyers—Ulam-Rassias稳定性的原理．采用线性算子论的方法，结合广义的Jensen等式，证明了Banach代数上与高阶导子系有关的函数方程具有广义的Hyers—Ulam-Rassias稳定性．证明结果表明该方法实用性强，...
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| 关 键 词： | Banach代数 Jordan—triple导子系 Hyers—Ulam—Rassias稳定性 |
The generalized Hyers-Ulam-Rassias stability of Jordan-triple derivation systems of order n on Banach algebra |
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| LIU Li-jun.The generalized Hyers-Ulam-Rassias stability of Jordan-triple derivation systems of order n on Banach algebra[J].Pure and Applied Mathematics,2011,27(5):642-649,661. |
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| Authors: | LIU Li-jun |
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| Institution: | LIU Li-jun(Department of Mathematics,Shaanxi University of Teachnology,Hanzhong 723000,China) |
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| Abstract: | According to the fact that the Jordan-triple derivation systems of order n on Banach algebra. In this paper, Using operator theoretie method. We proved the generalized Hyers-Ulam-Rassias stability of functional eduations related to derivations on Banach algebra associated to a generalized Jensen equation. In addition, we take account of the problem of Jacobson radical ranges for such functional inequality. |
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| Keywords: | Banach algebra Jordan-triple derivation system Hyers-Ulam-Rassias stability |
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