Sammanfattning
We prove, for the class of real locally convex spaces E that are continuously and linearly injectable into some c0(Γ), 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. Furthermore, if every real-valued C∞-function on the weak topology of a quasi-complete locally convex space E is bounded on a subset A of E, then A is relatively weakly compact. © 1993 Springer-Verlag.
Originalspråk | Svenska |
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Sidor (från-till) | 257-266 |
Antal sidor | 10 |
Tidskrift | Monatshefte für Mathematik |
Volym | 115 |
Nummer | 3 |
DOI | |
Status | Publicerad - sep. 1993 |
MoE-publikationstyp | A1 Tidskriftsartikel-refererad |