A submetric characterization of Rolewicz's property (β)

2021/01/21 by Zhang, Sheng
#FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2101.08707

Abstract

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

Related

• Equivalent norms with the property (β) of Rolewicz
• The transfer of property (β) of Rolewicz by a uniform quotient map
• An asymptotic analog of a local-to-global phenomenon for uniformly convex renormings
• Property (β) and uniform quotient maps
• Some properties of coarse Lipschitz maps between Banach spaces