Weak-2-local isometries on uniform algebras and Lipschitz algebras Li, Lei Peralta Pereira, Antonio Miguel Wang, Liguang Wang, Ya-Shu We establish spherical variants of the Gleason-Kahane-Zelazko and Kowalski-Slodkowski 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. Hatori, T. Miura, H. Oka, and H. Takagi in 2007. 2020-02-06T08:53:06Z 2020-02-06T08:53:06Z 2019 info:eu-repo/semantics/article Li, L., Peralta, A. M., Wang, L., & Wang, Y. S. (2019). Weak-2-local isometries on uniform algebras and Lipschitz algebras. Publicacions Matemàtiques, 63(1), 241-264. http://hdl.handle.net/10481/59468 10.5565/PUBLMAT6311908 eng http://creativecommons.org/licenses/by-nc-nd/3.0/es/ info:eu-repo/semantics/openAccess Atribución-NoComercial-SinDerivadas 3.0 España Universitat Autònoma de Barcelona