摘要
根据环同态的稳定性,引入了算子方程Ax=0的ε-Hyers-Ulam稳定性的概念.在此基础上,给出了算子方程Ax=0是ε-Hyers-Ulam稳定的一些充分必要条件.得到了ε>0,算子方程Ax=0是ε-H-U稳定的当且仅当kerA是非空的.
Motivated by the stability of ring homomorphisms, the ε-Hyers-Ulam stability of operator equations are introduced. Some sufficient and necessary conditions for the ε-Hyers-Ulam stability of an operator equation Ax =0 are given. The main result shows that an operator equation is ε-H-U stable for all ε〉 0 if and only if ker A is not empty.
出处
《纺织高校基础科学学报》
CAS
2008年第1期58-60,共3页
Basic Sciences Journal of Textile Universities
基金
国家自然科学基金资助项目(10571113)
