A note on the stability of Jordan triple higher ring derivations

A note on the stability of Jordan triple higher ring derivations
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DOI:
10.1007/s10114-009-8417-8
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发表时间:
2009-11
期刊:
Acta Mathematica Sinica, English Series
影响因子:
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通讯作者:
Jaiok Roh;Yong-Soo Jung;I. Chang
Jaiok Roh;Yong-Soo Jung;I. Chang
中科院分区:
其他
文献类型:
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作者:
Jaiok Roh;Yong-Soo Jung;I. Chang

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本文建立了与函数方程fn(xyx)= nfi +j+k=nfi(x)fj(y)fk(x)相对应的一个函数不等式的稳定性和超稳定性.此外,我们考虑了这类函数不等式的Jacobson根值域问题。
In the present paper, we establish the stability and the superstability of a functional inequality corresponding to the functional equationfn(xyx) = Σi+j+k=nfi(x)fj(y)fk(x). In addition, we take account of the problem of Jacobson radical ranges for such functional inequality.