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arXiv · 2107.01515

The Mazur-Ulam property for uniform algebras

Osamu Hatori
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Abstract

We give a sufficient condition for a Banach space with which the homogeneous extension of a surjective isometry from the unit sphere of it onto another one is real-linear. The condition is satisfied by a uniform algebra and a certain extremely $C$-regular space of real-valued continuous functions.

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Osamu Hatori. 2021-07-04. The Mazur-Ulam property for uniform algebras. https://arxiv.org/abs/2107.01515

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