Geodesic
The Christensen measurable solutions of a generalization of the Gołąb-Schinzel functional equation
Annales Polonici Mathematici, Tome 64 (1996) no. 3, pp. 195-205.

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Let K denote the set of all reals or complex numbers. Let X be a topological linear separable F-space over K. The following generalization of the result of C. G. Popa [16] is proved. Theorem. Let n be a positive integer. If a Christensen measurable function f: X → K satisfies the functional equation $f(x + f(x)^ny) = f(x)f(y)$, then it is continuous or the set {x ∈ X : f(x) ≠ 0} is a Christensen zero set.
DOI : 10.4064/ap-64-3-195-205
Keywords: Gołąb-Schinzel functional equation, Christensen measurability, F-space

Janusz Brzdęk 1

1 
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Janusz Brzdęk. The Christensen measurable solutions of a generalization of the Gołąb-Schinzel functional equation. Annales Polonici Mathematici, Tome 64 (1996) no. 3, pp. 195-205. doi : 10.4064/ap-64-3-195-205. http://geodesic.mathdoc.fr/articles/10.4064/ap-64-3-195-205/

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