TY - JOUR
ID - 529143
TI - Higher Derivations Associated with the Cauchy-Jensen Type Mapping
JO - Theory of Approximation and Applications
JA - TAA
LA - en
SN - 2538-2217
AU - Reisi, Hamidreza
AD - Department of Mathematics, Semnan University, Semnan, Iran
Y1 - 2016
PY - 2016
VL - 11
IS - 1
SP - 57
EP - 68
DO -
N2 - 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).
UR - http://msj.iau-arak.ac.ir/article_529143.html
L1 - http://msj.iau-arak.ac.ir/article_529143_5d6b8e1f8addeeda5a6f0eff8989c097.pdf
ER -