Higher Derivations Associated with the Cauchy-Jensen Type Mapping
Publish place: Theory of Approximation and Applications، Vol: 11، Issue: 1
Publish Year: 1396
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_MSJI-11-1_004
تاریخ نمایه سازی: 26 مرداد 1402
Abstract:
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 ۲f(\frac{T+S}{۲}+R)=f(T)+f(S)+۲f(R) for all T,S,R\in K(H).
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Department of Mathematics, Semnan University, Semnan, Iran