Timeline for Convergence in LB-spaces
Current License: CC BY-SA 4.0
12 events
| when toggle format | what | by | license | comment | |
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| May 13, 2020 at 12:28 | vote | accept | ABIM | ||
| May 13, 2020 at 11:29 | answer | added | Jochen Wengenroth | timeline score: 1 | |
| May 12, 2020 at 21:56 | history | edited | YCor | CC BY-SA 4.0 |
moved meta info from title to tag
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| May 12, 2020 at 21:56 | comment | added | ABIM | @JochenWengenroth I updated the question to reflect a reference to precisely this point. | |
| May 12, 2020 at 21:55 | history | edited | YCor | CC BY-SA 4.0 |
moved meta info from title to tag
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| May 12, 2020 at 21:53 | history | edited | ABIM | CC BY-SA 4.0 |
deleted 295 characters in body; edited title
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| May 12, 2020 at 21:51 | history | undeleted | ABIM | ||
| May 12, 2020 at 21:45 | history | deleted | ABIM | via Vote | |
| Apr 20, 2020 at 14:03 | comment | added | Jochen Wengenroth | It is a great difference if you ask for convergence of sequences or convergence of nets in locally convex inductive limits: If all $X_n$ are closed (I think user131781 just forgot this assumption) then a sequence in $Y$ converges if and only if the sequence is contained in some $X_n$ and converges there. For nets nothing like this is true. | |
| Apr 20, 2020 at 10:23 | comment | added | ABIM | But what do convergence sequences look like in the $LF$ space setting? I'm only familiar with the universal property of the construction but I've never seen a discussion on convergence in that topology. | |
| Apr 20, 2020 at 10:19 | comment | added | user131781 | The lc case is taken care of by the fact that this is a strict $LF$ inductive limit in the sense of Dieudonné and Schwartz. The top case follows immediately. | |
| Apr 20, 2020 at 6:36 | history | asked | ABIM | CC BY-SA 4.0 |