Complete metric spaces with property \((Z)\) are length spaces

DOI10.1016/j.jmaa.2018.12.051zbMath1434.46004OpenAlexW2906089900WikidataQ128714570 ScholiaQ128714570MaRDI QIDQ1733787

Gonzalo Martínez-Cervantes, Antonio Avilés López

Publication date: 21 March 2019

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2018.12.051

zbMATH Keywords

strongly exposed pointsDaugavet propertyLipschitz-free spacediameter-2 propertylength metric spacepreserved extreme points

Mathematics Subject Classification ID

Complete metric spaces (54E50) Isometric theory of Banach spaces (46B04)

Related Items (12)

Octahedral norms in duals and biduals of Lipschitz-free spaces ⋮ Some results on isometric composition operators on Lipschitz spaces ⋮ Weakly almost square Lipschitz-free spaces ⋮ On weakly almost square Banach spaces ⋮ The Daugavet property in spaces of vector-valued Lipschitz functions ⋮ A characterization of Banach spaces containing \(\ell_1(\kappa)\) via ball-covering properties ⋮ Stability of diametral diameter two properties ⋮ Examples and applications of the density of strongly norm attaining Lipschitz maps ⋮ On strongly norm attaining Lipschitz maps ⋮ Closed linear spaces consisting of strongly norm attaining Lipschitz functionals ⋮ Hyperbolic spaces and directional contractions ⋮ The Lipschitz-free space over a length space is locally almost square but never almost square

Cites Work

• Extremal structure and duality of Lipschitz free spaces
• A characterisation of the Daugavet property in spaces of Lipschitz functions
• Remarks on diameter 2 properties
• The Daugavet property for spaces of Lipschitz functions
• Octahedrality in Lipschitz-free Banach spaces
• On the preserved extremal structure of Lipschitz-free spaces

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