Timeline for reflexive banach space
Current License: CC BY-SA 3.0
18 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Mar 25, 2015 at 16:55 | answer | added | Beata Randrianantoanina | timeline score: 9 | |
| Mar 25, 2015 at 15:06 | comment | added | alpx | @ Wlo, I was calling my self non-expert since I don't have this basic intuition yet. | |
| Mar 25, 2015 at 15:05 | vote | accept | alpx | ||
| Mar 25, 2015 at 15:05 | vote | accept | alpx | ||
| Mar 25, 2015 at 15:05 | |||||
| Mar 25, 2015 at 15:04 | vote | accept | alpx | ||
| Mar 25, 2015 at 15:05 | |||||
| Mar 25, 2015 at 10:55 | answer | added | M.González | timeline score: 7 | |
| Mar 24, 2015 at 19:50 | answer | added | Bill Johnson | timeline score: 13 | |
| Mar 24, 2015 at 19:50 | comment | added | Bill Johnson | OK, I turned it into an answer now that the question has been reopened. | |
| Mar 24, 2015 at 18:31 | comment | added | Włodzimierz Holsztyński | Alpx, are you calling me "this non-expert". OK, it's true. The question is interesting but too vague. @BillJohnson 's answer is great. I'd like to see it as THE ANSWER (are there some other "THE ANSERWs"? Then let them see them too). | |
| Mar 24, 2015 at 17:17 | history | reopened |
Bill Johnson Christian Remling Paul Taylor Yemon Choi Lucia |
||
| Mar 24, 2015 at 16:28 | review | Reopen votes | |||
| Mar 24, 2015 at 17:17 | |||||
| Mar 24, 2015 at 16:17 | history | edited | Bill Johnson |
Added tag to bump this question because there is a good answer that I put in a comment.
|
|
| Mar 24, 2015 at 16:15 | comment | added | Bill Johnson | A separable Banach space is reflexive iff there is an equivalent norm on the space s.t. whenever $(x_n)$ is a bounded sequence for which $\lim_n \lim_m \|x_n + x_m\| = 2 \lim_n \|x_n\|$, the sequence $(x_n)$ converges. | |
| Mar 24, 2015 at 16:12 | comment | added | Bill Johnson | There is a beautiful result of Odell and Schlumprecht that gives an answer to this question for separable Banach spaces.Odell, E.(1-TX); Schlumprecht, Th.(1-TXAM) Asymptotic properties of Banach spaces under renormings. (English summary) J. Amer. Math. Soc. 11 (1998), no. 1, 175–188. | |
| Mar 24, 2015 at 14:22 | comment | added | Yemon Choi | I think the question is too broad in its current form but it is certainly closely related to things which are research level mathematics (e.g. uniform convexity, super-reflexivity and the super versions of Radon-Nikodym property and Krein-Milman) | |
| Mar 24, 2015 at 10:12 | history | closed |
Ian Morris Alex Degtyarev Dima Pasechnik Michael Renardy Joonas Ilmavirta |
Not suitable for this site | |
| Mar 24, 2015 at 9:17 | review | Close votes | |||
| Mar 24, 2015 at 10:12 | |||||
| Mar 24, 2015 at 5:16 | history | asked | alpx | CC BY-SA 3.0 |