A Note on the Stability of Jordan Triple Higher Ring Derivations

A Note on the Stability of Jordan Triple Higher Ring Derivations

In the present paper, we establish the stability and the superstability of a functional inequality corresponding to the functional equation fn（xyx） = ∑i＋j＋k=n fi（x）fj （y）fk（x）. In addition, we take account of the problem of Jacobson radical ranges for such functional inequality....

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Veröffentlicht in:Acta mathematica Sinica. English series 2009-12, Vol.25 (12), p.1975-1986
Hauptverfasser: Roh, Jaiok, Jung, Yong-Soo, Chang, Ick-Soon
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Applied mathematics
Jacobson根
Mapping
Mathematics
Mathematics and Statistics
Studies
Topology
函数方程
衍生物
高稳定性
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Beschreibung
Zusammenfassung:In the present paper, we establish the stability and the superstability of a functional inequality corresponding to the functional equation fn（xyx） = ∑i＋j＋k=n fi（x）fj （y）fk（x）. In addition, we take account of the problem of Jacobson radical ranges for such functional inequality.
ISSN:1439-8516
1439-7617
DOI:10.1007/s10114-009-8417-8