Higher Derivations Associated with the Cauchy-Jensen Type Mapping

الموضوعات :

Majid Gordji ¹ (Department of Mathematics, Semnan University, Semnan, Iran.)
Hamidreza Reisi ² (Department of Mathematics, Semnan University, Semnan, Iran)

تاريخ الإرسال : 06 الإثنين , جمادى الأولى, 1437 تاريخ التأكيد : 10 الأحد , ذو الحجة, 1437 تاريخ الإصدار : 23 السبت , ربيع الأول, 1440

الکلمات المفتاحية: Cauchy--Jensen type higher derivation, Cauchy-Jensen type higher Jordan derivation, Approximate-strong, C*-algebra,

ملخص المقالة :

Let H be an innite dimensional Hilbert space and K(H) be the set of all compactoperators on H. We will adopt spectral theorem for compact self-adjoint operators, to investigate ofhigher derivation and higher Jordan derivation on K(H) associated with the following Cauchy-Jensentype functional equation 2f((T + S)/2+ R) = f(T ) + f(S) + 2f(R) for all T, S, R are in K(H).