Real linear isometries between function algebras. II

✍ Scribed by Hatori, Osamu ;Miura, Takeshi

• Book ID: 120839972
• Publisher: Walter de Gruyter GmbH
• Year: 2013
• Tongue: English
• Weight: 796 KB
• Volume: 11
• Category: Article
• ISSN: 2391-5455
• DOI: 10.2478/s11533-013-0282-0

✦ Synopsis

Abstract

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.