%0 Journal Article
%T Higher Derivations Associated with the Cauchy-Jensen Type Mapping
%J Theory of Approximation and Applications
%I Islamic Azad University of Arak
%Z 2538-2217
%A Reisi, Hamidreza
%D 2016
%\ 03/01/2016
%V 11
%N 1
%P 57-68
%! Higher Derivations Associated with the Cauchy-Jensen Type Mapping
%R
%X Let H be anÂ infinite--dimensional Hilbert space and K(H) be the set of allÂ compact operators on H. We will adopt spectral theorem for compact self-adjoint operators, to investigate of higher derivation and higher Jordan derivation on K(H) associated with the following cauchy-Jencen type functional equation 2f(frac{T+S}{2}+R)=f(T)+f(S)+2f(R) for all T,S,Rin K(H).
%U http://msj.iau-arak.ac.ir/article_529143_5d6b8e1f8addeeda5a6f0eff8989c097.pdf