Generalized Ulam-Hyers stability of \(C^*\)-ternary algebra \(n\)-homomorphisms for a functional equation

DOI10.1186/1029-242X-2011-30zbMath1269.39011WikidataQ59269455 ScholiaQ59269455MaRDI QIDQ352289

Jae-Hyeong Bae, Won-Gil Park

Publication date: 4 July 2013

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

zbMATH Keywords

functional equationUlam-Hyers stability\(C^*\)-ternary algebra\(n\)-homomorphisms

Mathematics Subject Classification ID

Stability, separation, extension, and related topics for functional equations (39B82) General theory of (C^*)-algebras (46L05) Functional equations for functions with more general domains and/or ranges (39B52)

Cites Work

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• Approximate homomorphisms of ternary semigroups
• A functional equation having monomials as solutions
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• On stability of a functional equation with \(n\) variables
• On the stability of the linear transformation in Banach spaces
• APPROXIMATE BI-HOMOMORPHISMS AND BI-DERIVATIONS IN C^*-TERNARY ALGEBRAS
• The cubic chessboard
• Hypersymmetry: A ℤ3-graded generalization of supersymmetry
• On special classes of n-algebras
• Approximate homomorphisms and derivations between C∗-ternary algebras
• Classes of transformations and bordering transformations
• On the Stability of the Linear Functional Equation

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