The Mazur-Ulam property for uniform algebras
Functional Analysis
2021-07-06 v1
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 -regular space of real-valued continuous functions.
Keywords
Cite
@article{arxiv.2107.01515,
title = {The Mazur-Ulam property for uniform algebras},
author = {Osamu Hatori},
journal= {arXiv preprint arXiv:2107.01515},
year = {2021}
}
Comments
17 pages