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

Voir la notice de l'article dans European Digital Mathematics Library

J. Brzdęk [1] characterized Baire measurable solutions f : X → 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.
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. https://geodesic-test.mathdoc.fr/item/COMA_2010__50_1_292140/