Decomposition of the set of Banach limits into discrete and continuous subsets
Functional Analysis
2024-01-23 v1
Abstract
The aim of this work is to describe subsets of Banach limits in terms of a certain functional characteristic. We compute radii and cardinalities for some of these subsets.
Keywords
Cite
@article{arxiv.2401.11493,
title = {Decomposition of the set of Banach limits into discrete and continuous subsets},
author = {Nikolai Avdeev and Evgenii Semenov and Alexandr Usachev and Roman Zvolinskii},
journal= {arXiv preprint arXiv:2401.11493},
year = {2024}
}