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Tingley's problem on uniform algebras

Published 6 Jan 2021 in math.FA | (2101.01994v2)

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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