Tingley's problem on uniform algebras

2021/01/06 by Osamu Hatori, Hatori, Osamu, Shiho Oi +3
Mathematics · #Advanced Banach Space Theory #Advanced Operator Algebra Research #Advanced Topics in Algebra

paper · pdf · doi:10.48550/arxiv.2101.01994

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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