Timeline for Subspaces of finite codimension in Banach spaces
Current License: CC BY-SA 2.5
14 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jan 13, 2019 at 19:21 | comment | added | Todd Trimble | @Ayoub Certainly not; just take the kernel of any discontinuous linear functional for a counterexample. (In future, please do not use answer boxes to ask questions. I'm converting this to a comment under the question.) | |
| Jan 13, 2019 at 18:54 | comment | added | Ayoub | In the case when the space is Hilbert, is a finite codimensional subspace closed? | |
| Jul 12, 2010 at 8:48 | answer | added | Oleg Reinov | timeline score: -1 | |
| Jul 7, 2010 at 19:18 | comment | added | Yemon Choi | This is in Rudin's FA, Chapter 2 or 3, isn't it? | |
| Jul 7, 2010 at 13:28 | comment | added | Bill Johnson | Nice exercise, Laurent. It embarrasses me to learn something about Banach spaces from a number theorist. :) | |
| Jul 7, 2010 at 12:52 | answer | added | Pietro Majer | timeline score: 5 | |
| Jul 7, 2010 at 11:35 | answer | added | Jan Weidner | timeline score: 2 | |
| Jul 7, 2010 at 11:05 | answer | added | Keivan Karai | timeline score: -2 | |
| Jul 7, 2010 at 10:56 | comment | added | Laurent Berger | Here's a fun exercise: take $E$ to be a Banach space and let $H$ be a codimension one subspace. Prove that $H$ is dense in $E$ if and only if $E \setminus H$ is arcwise connected. | |
| Jul 7, 2010 at 10:55 | vote | accept | Kestutis Cesnavicius | ||
| Jul 7, 2010 at 10:34 | comment | added | Robin Chapman | See mathoverflow.net/questions/28415 in particular Nate's ticked answer. | |
| Jul 7, 2010 at 10:31 | answer | added | Matthew Daws | timeline score: 16 | |
| Jul 7, 2010 at 10:24 | answer | added | rpotrie | timeline score: 6 | |
| Jul 7, 2010 at 10:15 | history | asked | Kestutis Cesnavicius | CC BY-SA 2.5 |