A covering index for Banach spaces
Functional Analysis
2025-11-11 v3
Abstract
We introduce a new isomorphic quantity for Banach spaces, the index , based on finite convex coverings of the unit ball. This index is closely related to the asymptotic moduli of uniform convexity and uniform smoothness, so that it can be calculated for several classical Banach spaces.
Keywords
Cite
@article{arxiv.2503.03721,
title = {A covering index for Banach spaces},
author = {Matias Raja},
journal= {arXiv preprint arXiv:2503.03721},
year = {2025}
}