Timeline for Reference for Choquet-like theorem
Current License: CC BY-SA 4.0
8 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Oct 20, 2021 at 18:46 | comment | added | Andromeda | @R W Does Hahn-Banach allow us to extend affine functions on the compact subset $K$? | |
| Oct 20, 2021 at 16:00 | comment | added | R W | I presume Hahn - Banach would help | |
| Oct 20, 2021 at 15:46 | comment | added | Andromeda | Ah an affine function is a translation of a linear function. But then there is still the issue of domain. Can any affine function on $K$ be extended to an affine function on the locally convex space? | |
| Oct 20, 2021 at 15:28 | comment | added | R W | Not so much - think about it | |
| Oct 20, 2021 at 15:23 | comment | added | Andromeda | @R W An affine map preserves convex combinations. A linear map is much stronger. | |
| Oct 20, 2021 at 15:21 | comment | added | R W | What's the difference between affine and linear functions? | |
| Oct 20, 2021 at 15:15 | comment | added | Andromeda | @R W But this proposition states something about $f \in E^*$ instead of affine functions! | |
| Oct 20, 2021 at 12:26 | history | answered | R W | CC BY-SA 4.0 |