The uniform strong diameter two property

2025/12/12 by Vañó, Esteban Martínez, Zoca, Abraham Rueda
Mathematics · #Advanced Banach Space Theory #Advanced Operator Algebra Research #Advanced Topology and Set Theory #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2512.11408

openalex publication_date 2025/12/12 · openalex created_date 2025/12/16 · openalex updated_date 2026/07/28

Abstract

We study a uniform version of the strong diameter two property. In particular, we find a characterisation that does not involve ultrafilters and we use it to provide some examples of spaces with this uniform property that do not follow from previously known results.

Citations

• Transfinite (almost isometric) ideals in Banach spaces
• Superreflexive tensor product spaces
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• Almost square Banach spaces
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• Remarks on diameter 2 properties
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Related

• Symmetric strong diameter two property
• Remarks on diameter 2 properties
• Strong diameter two property and convex combination of slices reaching the unit sphere
• Slice diameter two property in ultrapowers
• On duality of diameter 2 properties