| 三角代数上与高阶导子系有关的函数方程的稳定性 |
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| 引用本文： | 刘莉君. 三角代数上与高阶导子系有关的函数方程的稳定性[J]. 纺织高校基础科学学报, 2011, 0(4): 510-516 |
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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 |
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| 基金项目： | 国家自然科学基金资助项目(10571113;10871224);陕西省自然科学研究计划资助项目(2009JM1011) |
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| 摘 要： | 设u=Tri(A,u,B)是三角代数,Jordan导子为三角代数中的一类重要映射.采用算子论的方法结合广义的Jensen等式证明了三角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.从而提供了一种利用稳定性研究扰动问题的方法.
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| 关 键 词： | 三角代数 导子系 Jordan导子系 Hyers-Ulam-Rassias稳定性 |
Stability of derivation systems of order n on a triangular algebra |
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| LIU Li-jun. Stability of derivation systems of order n on a triangular algebra[J]. Basic Sciences Journal of Textile Universities, 2011, 0(4): 510-516 |
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| Authors: | LIU Li-jun |
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| Affiliation: | LIU Li-jun(Department of Mathematics,Shaanxi University of Teachnology,Hanzhong,Shaanxi 723000,China) |
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| Abstract: | Let U=Tri(A,M,B) be a triangular algebra.In this paper,using operator theoretie method,it was proved the generalized Hyers-Ulam-Rassias stability of functional eduations related to derivations on a triangular algebra associated to a generalized Jensen equation.In addition,it is taked account of the problem of Jacobson radical ranges for such functional inequality. |
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| Keywords: | triangular algebra derivation system Jordan derivation system Hyers-Ulam-Rassias stability |
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