Riesz–Markov–Kakutani representation theorem
id:
riesz-markov-kakutani-representation-theorem-215-4910443
title:
Riesz–Markov–Kakutani representation theorem
text:
In mathematics, the Riesz–Markov–Kakutani representation theorem relates linear functionals on spaces of continuous functions on a locally compact space to measures in measure theory. The theorem is named for Frigyes Riesz (1909) who introduced it for continuous functions on the unit interval, Andrey Markov (1938) who extended the result to some non-compact spaces, and Shizuo Kakutani (1941) who extended the result to compact Hausdorff spaces. There are many closely related variations of the the
brand slug:
wiki
category slug:
encyclopedia
description:
Statement about linear functionals and measures
original url:
https://en.wikipedia.org/wiki/Riesz%E2%80%93Markov%E2%80%93Kakutani_representation_theorem
date created:
2013-03-28T18:53:26Z
date modified:
2024-09-12T20:06:43Z
main entity:
{"identifier":"Q17098001","url":"https://www.wikidata.org/entity/Q17098001"}
image:
fields total:
13
integrity:
15