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arXiv · 2501.10082

The local diameter two property and the diameter two property in spaces of Lipschitz functions

Rainis Haller·Jaan Kristjan Kaasik·Andre Ostrak
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Abstract

We separate the local diameter two property from the diameter two property and their weak-star counterparts from each other in spaces of Lipschitz functions. We characterise the $w^*$-LD$2$P, the $w^*$-D$2$P, the LD$2$P, and the SD$2$P in these spaces. We introduce a generalised version of cyclical monotonicity to study functionals on spaces of Lipschitz functions.

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Rainis Haller, Jaan Kristjan Kaasik, Andre Ostrak. 2025-01-17. The local diameter two property and the diameter two property in spaces of Lipschitz functions. https://arxiv.org/abs/2501.10082

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