A note on attaining diameter two properties in Lipschitz-free spaces

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DOI:

https://doi.org/10.12697/ACUTM.2026.30.11

Keywords:

Attaining strong diameter 2 property, length metric space, Lipschitz-free space

Abstract

We prove that in Lipschitz-free spaces the strong diameter two property, the diameter two property, and the local diameter two property coincide with their corresponding attaining variants.

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Author Biography

Jaan Kristjan Kaasik, University of Tartu

Institute of Mathematics and Statistics, Estonia

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Published

2026-05-30

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Section

Articles