Tingley's problem on uniform algebras
Functional Analysis
2021-04-29 v2
Abstract
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.
Keywords
Cite
@article{arxiv.2101.01994,
title = {Tingley's problem on uniform algebras},
author = {Osamu Hatori and Shiho Oi and Rumi Shindo Togashi},
journal= {arXiv preprint arXiv:2101.01994},
year = {2021}
}
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19 pages