The Daniell Integral
Classical Analysis and ODEs
2016-03-18 v2
Abstract
The basic properties of the Daniell integral are presented. We do not use the standard approach of introducing auxiliary spaces of the "over-functions" and "under-functions." Instead, we use a simple and direct approach based on approximating integrable functions by absolutely convergent series of simple functions.
Cite
@article{arxiv.1401.0310,
title = {The Daniell Integral},
author = {Elliot Blackstone and Piotr Mikusinski},
journal= {arXiv preprint arXiv:1401.0310},
year = {2016}
}