On the Cauchy--Rassias stability of the trif functional equation in \(C^{*}\)-algebras

DOI10.1016/J.JMAA.2004.04.028zbMath1064.46039OpenAlexW1969691582MaRDI QIDQ1876753

Dong Yun Shin, Jung Rye Lee

Publication date: 20 August 2004

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2004.04.028

zbMATH Keywords

\(C^*\)-algebrareal rank zeroTrif functional equation\(*\)-homomorphism\(*\)-derivationCauchy--Rassias stability

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)

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Cites Work

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• On stability of additive mappings
• \(C^*\)-algebras of real rank zero
• A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings
• On the stability of a functional equation deriving from an inequality of Popoviciu for convex functions
• Modified Trif's functional equations in Banach modules over a \(C\)-algebra and approximate algebra homomorphisms.
• Approximately Multiplicative Maps Between Banach Algebras
• On the Stability of the Linear Mapping in Banach Spaces
• HOMOMORPHISMS BETWEEN C*-ALGEBRAS ASSOCIATED WITH THE TRIF FUNCTIONAL EQUATION AND LINEAR DERIVATIONS ON C*-ALGEBRAS
• On the Stability of the Linear Functional Equation

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