Stability results of octahedrality in tensor product spaces

DOI10.1090/PROC/17085MaRDI QIDQ6668383

Abraham Rueda Zoca

Publication date: 22 January 2025

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

zbMATH Keywords

\(L_1\)-predualtensor product spacesoctahedralitystrong diameter two property

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Spaces of operators; tensor products; approximation properties (46B28) Isometric theory of Banach spaces (46B04)

Cites Work

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• Octahedral norms in spaces of operators
• Octahedral norms in duals and biduals of Lipschitz-free spaces
• Strong diameter two property and convex combinations of slices reaching the unit sphere
• Almost square and octahedral norms in tensor products of Banach spaces
• Octahedral norms and convex combination of slices in Banach spaces
• Recent progress on the Daugavet 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
• On Complex Strict and Uniform Convexity
• Octahedral norms in tensor products of Banach spaces
• Octahedrality in Lipschitz-free Banach spaces
• Banach spaces with the Daugavet property
• Remarks on rich subspaces of Banach spaces
• On duality of diameter 2 properties
• Rough norms in spaces of operators

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