Higher Derivations Associated with the Cauchy-Jensen Type Mapping

Authors

  • Majid Gordji Department of Mathematics, Semnan University, Semnan, Iran
Abstract:

Let H be an innite 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).

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Journal title

volume 12  issue 2

pages  63- 80

publication date 2018-12-01

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