Timeline for The uses of the polar topology in topological vector spaces
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jul 26, 2016 at 21:24 | comment | added | paul garrett | If you are wanting an example of applications of, for example, the fact that weak boundedness implies (strong) boundedness, then the proof that differentiability of $\lambda\circ f$ for all $\lambda\in V^*$ implies differentiability of $f$ is one such, where $f$ is a $V$-valued function on a (locally compact) smooth manifold, and $V$ is a quasi-complete, locally convex topological vector space. I think this is approximately due to Schwartz. Is this the sort of thing you wanted? | |
| Jul 26, 2016 at 11:56 | history | edited | 89085731 | CC BY-SA 3.0 |
added 40 characters in body
|
| Jul 26, 2016 at 11:54 | comment | added | Yemon Choi | Can you be more specific than "I want to know how the whole mechanism works"? Back in the old days of MO we used to have a refrain "MO is not for requests for an encyclopaedia entry", so perhaps you could single out some parts of the Mackey-Arens theorem (proof, or applications) that you find unclear? | |
| Jul 26, 2016 at 9:23 | history | edited | Ben McKay | CC BY-SA 3.0 |
grammar
|
| Jul 26, 2016 at 7:36 | history | asked | 89085731 | CC BY-SA 3.0 |