Tingley's problem for Schreier spaces and their $p$-convexifications

Autor:	Fakhoury, Micheline
Rok vydání:	2024
Předmět:	Mathematics - Functional Analysis
Druh dokumentu:	Working Paper
Popis:	We describe the surjective isometries of the unit sphere of real Schreier spaces of all orders and their $p$-convexifications, for $1 < p < \infty$. This description allows us to provide for those spaces a positive answer to a special case of Tingley's problem, which asks whether every surjective isometry of the unit sphere of a real Banach space can be extended to a linear isometry of the entire space. Comment: 40 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2412.00891 Zobrazit plný text záznamu View this record from Arxiv