Banach代数上的高阶Jordan-triple导子系的广义Hyers-Ulam-Rassias稳定性  

The generalized Hyers-Ulam-Rassias stability of Jordan-triple derivation systems of order n on Banach algebra

作　　者：刘莉君[1] 

机构地区：[1]陕西理工学院数学系,陕西汉中723000

出　　处：《纯粹数学与应用数学》2011年第5期642-649,661,共9页Pure and Applied Mathematics

基　　金：国家自然科学基金(10571113;10871224);陕西省自然科学研究计划(2009JM1011)

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,操作简便,从而提供了一种利用稳定性研究扰动问题的方法.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.

关 键 词：BANACH代数 Jordan—triple导子系 Hyers—Ulam—Rassias稳定性 

分 类 号：O177.1[理学—数学]