On the duality of the symmetric strong diameter 2 property in Lipschitz spaces

DOI10.1007/s13398-021-01018-2zbMath1482.46008arXiv2008.03163OpenAlexW3137320274MaRDI QIDQ1979348

Andre Ostrak

Publication date: 2 September 2021

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.03163

zbMATH Keywords

Lipschitz-free spaceoctahedral normLipschitz function spacessymmetric strong diameter two property

Mathematics Subject Classification ID

Classical Banach spaces in the general theory (46B25) Isometric theory of Banach spaces (46B04)

Related Items (3)

Daugavet points and $\Delta $-points in Lipschitz-free spaces ⋮ Injectivity of Lipschitz operators ⋮ Diameter two properties in some vector-valued function spaces

Cites Work

• Octahedral norms in duals and biduals of Lipschitz-free spaces
• Symmetric strong diameter two property in tensor products of Banach spaces
• Characterisation of the weak-star symmetric strong diameter 2 property in Lipschitz spaces
• New applications of extremely regular function spaces
• On strongly norm attaining Lipschitz maps
• Octahedral norms and convex combination of slices in Banach spaces
• Symmetric strong diameter two property
• Remarks on diameter 2 properties
• Metric characterization of first Baire class linear forms and octahedral norms
• A dual characterisation of the existence of small combinations of slices
• A characterisation of octahedrality in Lipschitz-free spaces
• Lipschitz Algebras
• On duality of diameter 2 properties

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