Baire measurable solutions of a generalized Gołąb–Schinzel equation

Eliza Jabłońska. "Baire measurable solutions of a generalized Gołąb–Schinzel equation." Commentationes Mathematicae 50.1 (2010): null. <http://eudml.org/doc/292140>.

@article{ElizaJabłońska2010,
abstract = {J. Brzdęk [1] characterized Baire measurable solutions $f\colon X \rightarrow K$ 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.},
author = {Eliza Jabłońska},
journal = {Commentationes Mathematicae},
keywords = {generalized Gołąb–Schinzel equation; net; finer net; Baire measurability},
language = {eng},
number = {1},
pages = {null},
title = {Baire measurable solutions of a generalized Gołąb–Schinzel equation},
url = {http://eudml.org/doc/292140},
volume = {50},
year = {2010},
}

TY - JOUR
AU - Eliza Jabłońska
TI - Baire measurable solutions of a generalized Gołąb–Schinzel equation
JO - Commentationes Mathematicae
PY - 2010
VL - 50
IS - 1
SP - null
AB - J. Brzdęk [1] characterized Baire measurable solutions $f\colon X \rightarrow K$ 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.
LA - eng
KW - generalized Gołąb–Schinzel equation; net; finer net; Baire measurability
UR - http://eudml.org/doc/292140
ER -