Weak-2-local isometries on uniform algebras and Lipschitz algebras
Weak-2-local isometries on uniform algebras and Lipschitz algebras
We establish spherical variants of the Gleason-Kahane-Żelazko and Kowalski-S lodkowski theorems, and we apply them to prove that every weak-2-local isometry between two uniform algebras is a linear map.Among the consequences, we solve a couple of problems posed by O.