We describe the general form of isometries between uniformly closed function algebras on locally compact Hausdorff spaces in a continuation of the study by Miura. We can actually obtain the form on the Shilov boundary, rather than just on the Choquet boundary. We also give an example showing that the form cannot be extended to the whole maximal ideal space.
@article{bwmeta1.element.doi-10_2478_s11533-013-0282-0,
author = {Osamu Hatori and Takeshi Miura},
title = {Real linear isometries between function algebras. II},
journal = {Open Mathematics},
volume = {11},
year = {2013},
pages = {1838-1842},
zbl = {1294.46042},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_s11533-013-0282-0}
}
Osamu Hatori; Takeshi Miura. Real linear isometries between function algebras. II. Open Mathematics, Tome 11 (2013) pp. 1838-1842. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_s11533-013-0282-0/
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