Non-expansive bijections, uniformities and polyhedral faces

2018/08/26 by C. Angosto, Angosto, Carlos, Vladimir Kadets +3 · 1 citation
Computer Science · Mathematics · #Optimization and Variational Analysis #Advanced Banach Space Theory #Point processes and geometric inequalities

paper · pdf · doi:10.48550/arxiv.1808.08534

Abstract

We extend the result of B. Cascales at al. about expand-contract plasticity of the unit ball of strictly convex Banach space to those spaces whose unit ball is the union of all its finite-dimensional polyhedral extreme subsets. We also extend the definition of expand-contract plasticity to uniform spaces and generalize the theorem on expand-contract plasticity of totally bounded metric spaces to this new setting.

Cited by

• Plastic metric spaces and groups

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