We show that a linear map on C ∞(X) which agrees at every function with some automorphism (depending on the given function) is itself an automorphism. © 2012 Elsevier B.V..
Cabello Sánchez, F. (2012). Automorphisms of algebras of smooth functions and equivalent functions. Differential Geometry and Its Application, 30(2), 216–221. https://doi.org/10.1016/j.difgeo.2012.03.003