Real linear isometries between function algebras. II

Osamu Hatori 1  and Takeshi Miura
  • 1 Department of Mathematics, Faculty of Science, Niigata University, Niigata, 950-2181, Japan
  • 2 Department of Applied Mathematics and Physics, Graduate School of Science and Engineering, Yamagata University, Yonezawa, 992-8510, Japan


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.

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