Ø±ÛŒÛŒØ³ÛŒ, Ø. (2017). Higher Derivations Associated with the Cauchy-Jensen Type Mapping. Theory of Approximation and Applications, 11(1), 57-68.

ØÙ…ÛŒØ¯Ø±Ø¶Ø§ Ø±ÛŒÛŒØ³ÛŒ. "Higher Derivations Associated with the Cauchy-Jensen Type Mapping". Theory of Approximation and Applications, 11, 1, 2017, 57-68.

Ø±ÛŒÛŒØ³ÛŒ, Ø. (2017). 'Higher Derivations Associated with the Cauchy-Jensen Type Mapping', Theory of Approximation and Applications, 11(1), pp. 57-68.

Ø±ÛŒÛŒØ³ÛŒ, Ø. Higher Derivations Associated with the Cauchy-Jensen Type Mapping. Theory of Approximation and Applications, 2017; 11(1): 57-68.

Higher Derivations Associated with the Cauchy-Jensen Type Mapping

Let H be an infinite--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-Jencen type functional equation

2f(\frac{T+S}{2}+R)=f(T)+f(S)+2f(R)

for all T,S,R\in K(H).

Article Title [Persian]

Higher Derivations Associated with the
Cauchy-Jensen Type Mapping

Authors [Persian]

Hamidreza Reisi

^{}Department of Mathematics, Semnan University, Semnan, Iran

Abstract [Persian]

Let H be an infinite--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-Jencen type functional equation