Fixed points and approximately \(C^{\ast}\)-ternary quadratic higher derivations (Q2865233)
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scientific article; zbMATH DE number 6234541
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Fixed points and approximately \(C^{\ast}\)-ternary quadratic higher derivations |
scientific article; zbMATH DE number 6234541 |
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29 November 2013
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generalized Hyers-Ulam-Rassias stability
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ternary algebra
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Banach algebra
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quadratic functional equation
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higher derivation
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Fixed points and approximately \(C^{\ast}\)-ternary quadratic higher derivations (English)
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\textit{M. S. Moslehian} [Bull. Braz. Math. Soc. (N.S.) 38, No. 4, 611--622 (2007; Zbl 1141.39029)] stated the first results about the stability of mappings on ternary \(C^*\)-rings; see also [\textit{C. Park }, J. Math. Anal. Appl. 327, No. 1, 101--115 (2007; Zbl 1113.39033)]. In this paper, the authors show the Hyers-Ulam-Rassias stability of \(C^*\)-ternary higher derivations associated to quadratic functional equation by following the known method.
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