The Mazur–Ulam property for uniform algebras
Volume 265 / 2022
Studia Mathematica 265 (2022), 227-239
MSC: Primary 46B04, 46B20, 46J10, 46J15.
DOI: 10.4064/sm210703-11-9
Published online: 7 April 2022
Abstract
We give a sufficient condition on a complex Banach space for the homogeneous extension of every surjective isometry from the unit sphere of it onto another one to be real-linear. The condition is satisfied by uniform algebras.
