Homomorphisms and derivations in \(C^{\ast}\)-ternary algebras
type: Item
instance of: scholarly article
title: Homomorphisms and derivations in \(C^{\ast}\)-ternary algebras
zbMATH Open document ID: 1169.39304
DOI: 10.1155/2009/612392
author: A. Najati
author: Choonkil Park
author: Jung Rye Lee
published in: Abstract and Applied Analysis
publication date: 2009-07-02T00:00:00Z
full work available at URL: https://eudml.org/doc/55889
review text: Summary: \textit{C. Park} [J.~Math.\ Phys.\ 47, No.~10, 103512 (2006; Zbl 1112.39023)] proved the stability of homomorphisms in \(C^{\ast }\)-ternary algebras and of derivations on \(C^{\ast }\)-ternary algebras for the following generalized Cauchy-Jensen additive mapping: \(2f((\sum_{j=1}^{p} x_{j}/2)+\sum_{j=1}^d y_j) = \sum^p_{j=1} f(x_j)+2\sum^d_{j=1}f(y_j)\). In this note, we improve and generalize some results concerning this functional equation.
Mathematics Subject Classification ID: 39B52
Mathematics Subject Classification ID: 39B82
Mathematics Subject Classification ID: 46K70
Mathematics Subject Classification ID: 47B47
zbMATH DE Number: 5574403
Wikidata QID: Q58646631
MaRDI profile type: Publication
OpenAlex ID: W1598792665
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