- Tytuł:
- Baire measurable solutions of a generalized Gołąb–Schinzel equation
- Autorzy:
- Jabłońska, Eliza
- Powiązania:
- https://bibliotekanauki.pl/articles/746002.pdf
- Data publikacji:
- 2010
- Wydawca:
- Polskie Towarzystwo Matematyczne
- Tematy:
-
generalized Gołąb–Schinzel equation
net
finer net
Baire measurability - Opis:
- 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.
- Źródło:
-
Commentationes Mathematicae; 2010, 50, 1
0373-8299 - Pojawia się w:
- Commentationes Mathematicae
- Dostawca treści:
- Biblioteka Nauki
Artykuł