The stability problem: New results and counterexamples

DOI10.1007/BF00398152zbMath0595.39010OpenAlexW2060594912WikidataQ124841134 ScholiaQ124841134MaRDI QIDQ1077645

Douglas Cenzer

Publication date: 1985

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00398152

zbMATH Keywords

stabilityabelian groupsCauchy functional equationepsilon homomorphismfunctional equations on metricperturbation of a homomorphism

Mathematics Subject Classification ID

Finite abelian groups (20K01) Functional equations for functions with more general domains and/or ranges (39B52) Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups (20K30) Systems of functional equations and inequalities (39B72) Functional equations and inequalities (39B99)

Related Items

General stability of functional equations of linear type, On some recent developments in Ulam's type stability, On approximately additive functions, Approximate homomorphisms, Pseudo-characters and almost multiplicative functionals

Cites Work

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• Représentations approchees d'un groupe dans une algèbre de Banach
• Note on a problem in number theory
• On the Stability of the Linear Functional Equation