Tingley's problem on uniform algebras

Autor: Hatori, Osamu, Oi, Shiho, Togashi, Rumi Shindo
Rok vydání: 2021
Předmět:
Druh dokumentu: Working Paper
Popis: We prove that a surjective isometry between the unit spheres of two uniform algebras is extended to a surjective real-linear isometry between the uniform algebras. It provides the first positive solution for Tingley's problem on a Banach space of analytic functions.
Comment: 19 pages
Databáze: arXiv