Timeline for Smooth function algebra on cartesian product and beyond
Current License: CC BY-SA 3.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Mar 20, 2013 at 15:52 | comment | added | Claudio Gorodski | I mean, wrt $C^k$-norm (uniform convergence of functions and their first $k$ derivatives). | |
| Mar 19, 2013 at 19:45 | comment | added | Claudio Gorodski | @Peter: Piotr's comment would be fine for functions of class $C^k$, $k finite$, right? | |
| Mar 19, 2013 at 19:27 | vote | accept | Nevermind | ||
| Mar 19, 2013 at 18:58 | comment | added | Peter Michor | @Piotr: That is true for continuous functions. Spaces of smooth functions are not normable or Banach spaces. | |
| Mar 19, 2013 at 18:37 | answer | added | Peter Michor | timeline score: 4 | |
| Mar 19, 2013 at 18:35 | comment | added | Piotr Achinger | Assume $M$, $N$ compact. Isn't then $C^\infty(M\times N, \mathbb{R})$ the completion of $C^\infty(M, \mathbb{R}) \otimes C^\infty(N, \mathbb{R})$ with respect to the supremum norm? | |
| Mar 19, 2013 at 18:29 | history | asked | Nevermind | CC BY-SA 3.0 |