A density version of a theorem of Banach
Functional Analysis
2025-05-29 v2 Logic
Abstract
The S-measure construction from nonstandard analysis is used to prove an extension of a result on the intersection of sets in a finitely-additive measure space. This is then used to give a density-limit version of a representation theorem of Banach.
Cite
@article{arxiv.2411.11193,
title = {A density version of a theorem of Banach},
author = {David A. Ross},
journal= {arXiv preprint arXiv:2411.11193},
year = {2025}
}
Comments
Corrected from published version