@misc{10481/59468, year = {2019}, url = {http://hdl.handle.net/10481/59468}, abstract = {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.}, organization = {L. Li was partly supported by NSF of China project no. 11301285. A. M. Peralta was partially supported by the Spanish Ministry of Economy and Competitiveness and European Re- gional Development Fund project no. MTM2014-58984-P and Junta de Andalucía grant FQM375. L. Wang was partly supported by NSF of China Grants No. 11371222, 11871303, and 11671133. Y.-S. Wang was partly supported by Taiwan MOST 104-2115-M-005-001-MY2.}, publisher = {Universitat Autònoma de Barcelona}, title = {Weak-2-local isometries on uniform algebras and Lipschitz algebras}, doi = {10.5565/PUBLMAT6311908}, author = {Li, Lei and Peralta Pereira, Antonio Miguel and Wang, Liguang and Wang, Ya-Shu}, }