A submetric characterization of Rolewicz's property ($\beta$)

Sheng Zhang

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arXiv · 2101.08707

A submetric characterization of Rolewicz's property ($\beta$)

Sheng Zhang

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Abstract

The main result is a submetric characterization of the class of Banach spaces admitting an equivalent norm with Rolewicz's property ($\beta$). As applications we prove that up to renorming, property ($\beta$) is stable under coarse Lipschitz embeddings and coarse quotients.

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Sheng Zhang. 2021-01-21. A submetric characterization of Rolewicz's property ($\beta$). https://arxiv.org/abs/2101.08707

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