%0 Journal Article
%T Higher *-derivations between unital C*-algebras
%A M. Eshaghi Gordji
%A R. Farokhzad Rostami
%A S. A. R. Hosseinioun
%J Surveys in Mathematics and its Applications
%D 2010
%I University Constantin Brancusi of Targu-Jiu
%X Let A, B be two unital C*-algebras. We prove that every sequence of mappings from A into B, H = {h0,h1, ..., hm, ...}, which satisfy hm(3nuy) =Σi+j=mhi(3nu)hj(y) for each m （ N0, for all u（U(A), all y（ A, and all n = 0, 1, 2, ..., is a higher derivation. Also, for a unital C*-algebra A of real rank zero, every sequence of continuous mappings from A into B, H = {h0,h1,..., hm, ...}, is a higher derivation when hm(3nuy)=Σi+j=mhi(3nu)hj(y) holds for all u（I1(Asa), all y（ A, all n = 0, 1,2, ... and for each m （ N0. Furthermore, by using the fixed points methods, we investigate the Hyers-Ulam-Rassias stability of higher *-derivations between unital C*-algebras.
%K Alternative fixed point
%K Hyers--Ulam--Rassias stability
%K Higher *-derivation
%U http://www.utgjiu.ro/math/sma/v05/p22.pdf