纺织高校基础科学学报2011,Vol.24Issue(4):510-516,7.
三角代数上与高阶导子系有关的函数方程的稳定性
Stability of derivation systems of order n on a triangular algebra
摘要
Abstract
Let u = Tri(A,U,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.关键词
三角代数/导子系/Jordan导子系/Hyers-Ulam-Rassias稳定性Key words
triangular algebra/ derivation system/ Jordan derivation system/ Hyers-Ulam-Rassias stability分类
数理科学引用本文复制引用
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,2011,24(4):510-516,7.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) (2009JM1011)