Higher Derivations Associated with the Cauchy-Jensen Type Mapping

Theory of Approximation and Applications

مقاله 5، دوره 12، شماره 2، اسفند 2018، صفحه 61-72   

نوع مقاله: Research Articles

نویسندگان

Majid Eshaghi Gordji^{* 1}؛ Hamidreza Reisi²

¹Department of Mathematics, Semnan University, Semnan, Iran.

²Department of Mathematics, Semnan University, Semnan, Iran

چکیده

Let H be an innite dimensional Hilbert space and K(H) be the set of all 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-Jensen
type functional equation
2f((T + S)/2+ R) = f(T ) + f(S) + 2f(R)
for all T, S, R are in K(H).

کلیدواژه‌ها

Cauchy--Jensen type higher derivation, Cauchy-Jensen type higher Jordan derivation, Approximate-strong؛ C*-algebra