The diametral strong diameter 2 property of Banach spaces is the same as the Daugavet property

DOI10.1090/proc/15448zbMath1470.46015arXiv2008.07258OpenAlexW3111936239MaRDI QIDQ4985391

Vladimir Kadets

Publication date: 23 April 2021

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.07258

zbMATH Keywords

Daugavet propertyconvex combination of slicesbig slices

Mathematics Subject Classification ID

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

Related Items (4)

Daugavet and diameter two properties in Orlicz-Lorentz spaces ⋮ The Daugavet Equation: Linear and Nonlinear Recent Results ⋮ Diameter two properties in some vector-valued function spaces ⋮ \(L\)-orthogonality, octahedrality and Daugavet property in Banach spaces

Cites Work

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• Geometric aspects of the Daugavet property
• Stability of average roughness, octahedrality, and strong diameter 2 properties of Banach spaces with respect to absolute sums
• Spear operators between Banach spaces
• Narrow operators and rich subspaces of Banach spaces with the Daugavet property
• Diametral strong diameter two property of Banach spaces is stable under direct sums with 1-norm
• Octahedrality in Lipschitz-free Banach spaces
• Banach spaces with the Daugavet property
• Slicely countably determined Banach spaces

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