In this note we prove, for some classes of real locally convex spaces E including all complete Schwartz spaces, that every non-zero homomorphism on the algebra C∞ (E) of C∞-functions on E is given by a point evaluation at some point of E. © 1991 Springer-Verlag.
Biström, P., Bjon, S., & Lindström, M. (1991). Homomorphisms on some function algebras. Monatshefte Für Mathematik, 111(2), 93–97. https://doi.org/10.1007/BF01332348