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arXiv · 2503.03721

A covering index for Banach spaces

Matias Raja
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Abstract

We introduce a new isomorphic quantity for Banach spaces, the index $\Theta_X$, 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.

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Matias Raja. 2025-03-05. A covering index for Banach spaces. https://arxiv.org/abs/2503.03721

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