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arXiv · 2603.02977

The weak Banach-Saks property for H\"older spaces

Prezemysław Górka·Mauro Sanchiz
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Abstract

We investigate the weak Banach--Saks property in the setting of H\"older spaces over metric spaces. We show that, for every infinite metric space $(M,d)$ and every $\alpha \in (0,1]$, the H\"older space $C^{\alpha}(M)$ fails to have the weak Banach--Saks property.

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Prezemysław Górka, Mauro Sanchiz. 2026-03-03. The weak Banach-Saks property for H\"older spaces. https://arxiv.org/abs/2603.02977

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