Surjective Real-Linear Uniform Isometries Between Complex Function Algebras

In this paper, we rst give a description of a surjecive unit-preserving real-linear uniform isometry T : A → B, where A and B are complex function spaces on compact Hausdorff spaces X and Y , respectively, whenever ER(A,X) = Ch (A,X) and ER(B, Y ) = Ch (B, Y ). Next, we give a description of T whenever A and B are complex function algebras and T does not assume to be unit-preserving.