Geodesic
Baire measurable solutions of a generalized Gołąb–Schinzel equation
Commentationes Mathematicae, Tome 50 (2010) no. 1, pp. 69-72.

Voir la notice de l'article provenant de la source Annales Societatis Mathematicae Polonae Series

J. Brzdęk [1] characterized Baire measurable solutions \(f\colon X \to K\) of the functional equation \[ f (x + f (x)^n y) = f (x)f (y) \] under the assumption that \(X\) is a Fréchet space over the field \(K\) of real or complex numbers and \(n\) is a positive integer. We prove that his result holds even if \(X\) is a linear topological space over \(K\); i.e. completeness and metrizability are not necessary.
DOI : 10.14708/cm.v50i1.5302
Mots-clés : generalized Gołąb–Schinzel equation, net, finer net, Baire measurability 
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Eliza Jabłońska. Baire measurable solutions of a generalized Gołąb–Schinzel equation. Commentationes Mathematicae, Tome 50 (2010) no. 1, pp.  69-72. doi : 10.14708/cm.v50i1.5302. http://geodesic.mathdoc.fr/articles/10.14708/cm.v50i1.5302/

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