Characterization of the absolute value of an additive function by means of a functional equation

DOI10.1007/BF01838140zbMath0798.39007OpenAlexW2088176775MaRDI QIDQ1317964

Alice Chaljub-Simon, Peter Volkmann

Publication date: 6 November 1994

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/137568

zbMATH Keywords

functional equationAbelian groupreal-valued additive functioncharacterization of the absolute value

Mathematics Subject Classification ID

Functional equations for real functions (39B22) Functional equations for functions with more general domains and/or ranges (39B52)

Related Items (9)

The stability of functional equation \(\min\{f(x + y), f(x - y)\} = |f(x) - f(y)|\) ⋮ Ulam type stability problems for alternative homomorphisms ⋮ On the functional equation \(f(x)+f(y)=\max\{f(xy),f(xy^{-1})\}\) on groups ⋮ Minimum functional equation and some Pexider-type functional equation on any group ⋮ On a composite functional equation fulfilled by modulus of an additive function ⋮ Generalized Vincze's functional equations on any group in connection with the maximum functional equation ⋮ ON SOME PEXIDER-TYPE FUNCTIONAL EQUATIONS CONNECTED WITH THE ABSOLUTE VALUE OF ADDITIVE FUNCTIONS. PART I ⋮ ON SOME PEXIDER-TYPE FUNCTIONAL EQUATIONS CONNECTED WITH THE ABSOLUTE VALUE OF ADDITIVE FUNCTIONS. PART II ⋮ On Tabor groupoids and stability of some functional equations

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