Bounded solutions of a generalization of the Go la̧b–Schinzel equation
نویسنده
چکیده
Let X be a linear space over the field of real or complex numbers. We characterize solutions f : X → K and M : K → K of the equation f(x + M(f(x))y) = f(x)f(y) under assumption that the set {x ∈ X : f(x) 6= 0} has an algebraically interior point. As a consequence we give solutions of the equation such that f is bounded on a set having an algebraically interior point.
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