Nonexpansive bijections between unit balls of Banach spaces

DOI10.1215/20088752-2017-0050zbMath1400.46013arXiv1704.06961OpenAlexW2609637835MaRDI QIDQ1751989

Olesia Zavarzina

Publication date: 25 May 2018

Published in: Annals of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1704.06961

zbMATH Keywords

nonexpansive mapstrictly convex spaceunit ballplastic space

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Isometric theory of Banach spaces (46B04)

Related Items (5)

Non-expansive bijections, uniformities and polyhedral faces ⋮ Plastic pairs of metric spaces ⋮ On expand-contract plasticity in quasi-metric spaces ⋮ Linear expand-contract plasticity of ellipsoids in separable Hilbert spaces ⋮ Linear expand-contract plasticity of ellipsoids revisited

Cites Work

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• Plasticity of the unit ball of a strictly convex Banach space
• Extension of isometries between unit spheres of finite-dimensional polyhedral Banach spaces
• On isometric extension problem between two unit spheres
• Isometries of the unit sphere
• Plasticity in metric spaces
• Generalized-lush spaces and the Mazur–Ulam property

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