Islamic Azad University of Arak
Theory of Approximation and Applications
2538-2217
11
1
2016
03
01
Higher Derivations Associated with the Cauchy-Jensen Type Mapping
57
68
529143
EN
Hamidreza
Reisi
Department of Mathematics, Semnan University, Semnan, Iran
Journal Article
2015
10
23
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<br /> <br />2f(frac{T+S}{2}+R)=f(T)+f(S)+2f(R)<br /> <br />for all T,S,Rin K(H).
http://msj.iau-arak.ac.ir/article_529143_5d6b8e1f8addeeda5a6f0eff8989c097.pdf