P000007
Tingley's problem for uniformly closed function algebras
MarĂa Cueto-Avellaneda (University of Kent)
Daisuke Hirota (Niigata University)
*Takeshi Miura (Niigata University)
Antonio M. Peralta (Universidad de Granada)
Let $A$ and $B$ be uniformly closed function algebras on locally compact Hausdorff spaces $X$ and $Y$, respectively. We prove that every surjective isometry between unit spheres of $A$ and $B$ can be extended to a surjective real linear isometry from $A$ onto $B$.