Generalized Hycrs-Ulam stability;
Jordan homomorphism;
Jordan algebra;
D O I:
暂无
中图分类号:
O1 [数学];
学科分类号:
0701 ;
070101 ;
摘要:
In this paper, we investigate the generalized Hyers- Ulam stability of Jordan homomorphisms in Jordan Banach algebras for the functional equation S-k=2(n) Sigma(k)(i1=2) Sigma(k+1)(i2=i1+1) ... Sigma(n) (in-k+1=in-k+1) f(Sigma(n) (i=1,i not equal i1)....,i(n-k+1) x(i) - Sigma(n-k+1)(r=1) x(ir) ) + f (Sigma(n) (i=1) x(i)) - 2(n-1)f(x(1)) =0, where n is an integer greater than 1.