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arXiv · 2101.01994

Tingley's problem on uniform algebras

Osamu Hatori·Shiho Oi·Rumi Shindo Togashi
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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.

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Osamu Hatori, Shiho Oi, Rumi Shindo Togashi. 2021-01-06. Tingley's problem on uniform algebras. https://arxiv.org/abs/2101.01994

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