摘要
在拟Banach代数中同态的稳定性基础上引入了拟同态的概念,研究了Banach代数中与条件‖f(x1+x2+…+xk)-f(x1)-f(x2)-…-f(xk)‖≤θ‖x1‖r‖x2‖r…‖xk‖r,‖f(x1+x2+…+xk)-f(x1)-f(x2)-…-f(xk)‖≤θ(‖x1‖r+‖x2‖r+…+‖xk‖r)(r,θ是正实数)相关的Hyers-Ulam-Rassias稳定性问题.
Base of the stability of homorphism in quasi-Banach algebra, the notion of quasi-homomorphism is introduced, and Hyers-Ulam-Rassias stability of quasi-homorphism is investigated in quasi-Banach algebras associated to the following conditions:
{||f(x1+x2+…+xk)-f(x1)-f(x2)-…-f(xk)||≤θ||x1||^r||x2||^r…||xk||^r,
||f(x1+x2+…+xk)-f(x1)-f(x2)-…-f(xk)||≤θ||x1||^r+||x2||^r+…+||xk||^r,)
where r and s be positive real numbers.
出处
《纺织高校基础科学学报》
CAS
2008年第4期421-424,428,共5页
Basic Sciences Journal of Textile Universities
基金
国家自然科学基金资助项目(10571113)