Lebesgue decomposition via Riesz orthogonal decomposition
Functional Analysis
2014-03-24 v1
Abstract
We give a simple and short proof of the classical Lebesgue decomposition theorem of measures via the Riesz orthogonal decomposition theorem of Hilbert spaces. The tools we employ are elementary Hilbert space techniques.
Keywords
Cite
@article{arxiv.1403.5489,
title = {Lebesgue decomposition via Riesz orthogonal decomposition},
author = {Zsigmond Tarcsay},
journal= {arXiv preprint arXiv:1403.5489},
year = {2014}
}