Baire measurable solutions of a generalized Gołab-Schinzel equation

• Autorzy: Szal B. , Jabłońska E.
• Języki publikacji: EN

Abstrakty

EN

J. Brzdek [1] characterized Baire measurable solutions f : X →K of the functional equation f(x + f(x)ⁿ

Słowa kluczowe

EN

generalized Gołab-Schinzel equation; net; finer net; Baire measurability

• Wydawca: Polskie Towarzystwo Matematyczne
• Czasopismo: Commentationes Mathematicae
• Rocznik: 2010
• Tom: Vol. 50, [Z] 1
• Strony: 69--72
• Opis fizyczny: Bibliogr. 7 poz.

Twórcy

autor

Szal B.

autor

Jabłońska E.

• Department of Mathematics, Rzeszów university of Technology W. Pola 2, 35-959 Rzeszów, Poland,

Bibliografia

• [1] J. Brzdęk, Bounded solutions of the Gołab-Schinzel equation, Aequationes Math. 59 (2000), 248-254.
• [2] J. Brzdęk, The Christensen measurable solutions of a generalization of the Gołab-Schinzel functional equation, Ann. Polon. Math. 44, no. 3 (1996), 195-205.
• [3] S. Gołąb and A. Schinzel, Sur l'équation fonctionnelle f(x + f(x)y) = f(x)f(y), Publ. Math. Debrecen 6 (1959), 113-125.
• [4] E. Hewitt and K.A. Ross, Abstract Harmonic Analysis I, Structure of topological groups, integration theory, group representations. Second edition. Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], 115. Springer-Verlag, New York-Berlin, 1979.
• [5] J.L. Kelley and I. Namioka, Linear topological spaces, Springer-Verlag, New York-Heidelberg- Berlin, 1976.
• [6] J.C. Oxtoby, Measure and Category, Springer-Verlag, New York-Heidelberg-Berlin, 1971.
• [7] C.G. Popa, Sur l'´equation fonctionnelle f(x + f(x)y) = f(x)f(y), Ann. Polon. Math. 17 (1965), 193-198.