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