Autor:	Bargetz, Christian, Dymond, Michael, Pirk, Katriin
Rok vydání:	2024
Předmět:	Mathematics - Functional Analysis 46B25 47H09 54E52
Druh dokumentu:	Working Paper
Popis:	We study the extremality of nonexpansive mappings on a nonempty bounded closed and convex subset of a normed space (therein specific Banach spaces). We show that surjective isometries are extremal in this sense for many Banach spaces, including Banach spaces with the Radon-Nikodym property and all $C(K)$-spaces for compact Hausdorff $K$. We also conclude that the typical, in the sense of Baire category, nonexpansive mapping is close to being extremal. Comment: 23 pages, minor changes to the previous version
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2409.04292 Zobrazit plný text záznamu View this record from Arxiv