Timeline for Weak basis of normed linear space
Current License: CC BY-SA 4.0
10 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Apr 17, 2021 at 18:26 | comment | added | Dirk Werner | Further to my comment placed below erz's proof I should mention that the result is contained in Singer's book as Theorem 13.1 on page 146ff. | |
| Apr 16, 2021 at 9:16 | comment | added | Tomer | @LeoMoos Indeed, here it is only proven that the set $(e_n)$ is a complete system, which is not enough to conclude that it is in fact a basis. | |
| Apr 16, 2021 at 9:09 | vote | accept | Tomer | ||
| Apr 15, 2021 at 22:09 | comment | added | Gerald Edgar | I think we need Banach space, and not merely normed space. For example, erz uses closed graph theorem in his proof. | |
| Apr 15, 2021 at 21:45 | answer | added | erz | timeline score: 2 | |
| Apr 15, 2021 at 20:34 | comment | added | Leo Moos | @NateEldredge That's certainly possible - I linked it because it looked reasonable. I'll happily defer to your judgement. | |
| Apr 15, 2021 at 20:24 | comment | added | Nate Eldredge | @LeoMoos: I think there's a gap in the proof there. It shows that the sequence is total, but that does not imply that it's a basis. | |
| Apr 15, 2021 at 19:42 | comment | added | Leo Moos | Does the discussion at the following link answer your question? math.stackexchange.com/questions/2271959/… | |
| Apr 15, 2021 at 18:51 | history | edited | Tomer | CC BY-SA 4.0 |
added 2 characters in body
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| Apr 15, 2021 at 18:10 | history | asked | Tomer | CC BY-SA 4.0 |