Higher Derivations Associated with the Cauchy-Jensen Type Mapping
محورهای موضوعی : Applied MathematicsMajid Gordji 1 , Hamidreza Reisi 2
1 - Department of Mathematics, Semnan University, Semnan, Iran.
2 - Department of Mathematics, Semnan University, Semnan, Iran
کلید واژه: Cauchy--Jensen type higher derivation, Cauchy-Jensen type higher Jordan derivation, Approximate-strong, C*-algebra,
چکیده مقاله :
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).
