# Baire measurable solutions of a generalized Gołąb–Schinzel equation

Commentationes Mathematicae (2010)

- Volume: 50, Issue: 1
- ISSN: 2080-1211

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topEliza 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 -

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