The Lipschitz-free space over a length space is locally almost square but never almost square

DOI10.1007/s00009-022-02218-9OpenAlexW4313335282MaRDI QIDQ2112046

Andre Ostrak, Jaan Kristjan Kaasik, Rainis Haller

Publication date: 17 January 2023

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2205.02685

zbMATH Keywords

Lipschitz-free spacediameter 2 propertyalmost squarelength metric spacelocally almost square

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Isometric theory of Banach spaces (46B04)

Related Items (2)

Weakly almost square Lipschitz-free spaces ⋮ On weakly almost square Banach spaces

Cites Work

• Unnamed Item
• Some results on almost square Banach spaces
• Unconditional almost squareness and applications to spaces of Lipschitz functions
• Almost square Banach spaces
• Complete metric spaces with property \((Z)\) are length spaces
• A characterisation of the Daugavet property in spaces of Lipschitz functions
• New applications of extremely regular function spaces
• Almost square dual Banach spaces
• On strongly norm attaining Lipschitz maps
• Symmetric strong diameter two property
• The Daugavet property for spaces of Lipschitz functions
• Lipschitz-free Banach spaces
• Quantitative versions of almost squareness and diameter 2 properties

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