Higher Derivations Associated with the Cauchy-Jensen Type Mapping

الموضوعات :

Hamidreza Reisi ¹

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

تاريخ الإرسال : 10 الجمعة , محرم, 1437 تاريخ التأكيد : 28 الثلاثاء , شوال, 1437 تاريخ الإصدار : 05 الإثنين , شعبان, 1438

الکلمات المفتاحية:

ملخص المقالة :

Let H be aninfinite--dimensional Hilbert space and K(H) be the set of allcompact 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,R\in K(H).