Baire measurable solutions of a generalized Gołąb–Schinzel equation

• Autorzy: Eliza Jabłońska
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

generalized Gołąb–Schinzel equation; net; finer net; Baire measurability

• Wydawca: Polish Mathematical Society
• Czasopismo: Commentationes Mathematicae
• Rocznik: 2010
• Tom: 50
• Numer: 1

Daty

wydano

2010

online

2017-12-19

Twórcy

autor

Eliza Jabłońska

Identyfikatory

DOI

10.14708/cm.v50i1.5302