arXiv Open Access 2025

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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Abstrak

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.

Topik & Kata Kunci

math.FA

Penulis (3)

Rainis Haller

Jaan Kristjan Kaasik

Andre Ostrak

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APA MLA BibTeX

Haller, R., Kaasik, J.K., Ostrak, A. (2025). 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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Informasi Jurnal

Tahun Terbit: 2025
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓