The Mazur-Ulam property for uniform algebras

Published 4 Jul 2021 in math.FA | (2107.01515v1)

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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Authors (1)

Osamu Hatori

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