Timeline for Is the strong topology of a locally convex space always barrelled?
Current License: CC BY-SA 4.0
9 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jun 5, 2019 at 7:35 | vote | accept | Taras Banakh | ||
| Jun 5, 2019 at 7:17 | answer | added | Jerzy Kąkol | timeline score: 3 | |
| Jun 5, 2019 at 6:59 | answer | added | Ljubomir Cukic | timeline score: 0 | |
| Jun 5, 2019 at 6:40 | answer | added | Jochen Wengenroth | timeline score: 6 | |
| Jun 4, 2019 at 17:59 | history | edited | Taras Banakh | CC BY-SA 4.0 |
added 16 characters in body
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| Jun 4, 2019 at 17:52 | comment | added | Taras Banakh | For my purposes it would be very desirable to have affirmative answer at least to Question 2. I cannot imagine how a counterexample can be constructed (if it exists at all). | |
| Jun 4, 2019 at 17:49 | comment | added | Sergei Akbarov | Taras, yes, excuse me, you are right. | |
| Jun 4, 2019 at 17:36 | comment | added | Taras Banakh | @SergeiAkbarov The passage from $E$ to $E_\beta$ can change the dual. Just consider the space $E=C_p(K)$ of real-valued continuous functions on an infinite compact Hausdorff space $K$, endowed with the topology of pointwise convergence. The dual $E'$ is the space of finitely supported signed measures on $K$. On the other hand, $E_\beta$ coincides with the Banach space $C(K)$ and has much larger dual (consisting of all regular sign-measures). At least $C(K)'$ contain the space $\ell_1(K)$ of countably supported sign-measures. | |
| Jun 4, 2019 at 17:07 | history | asked | Taras Banakh | CC BY-SA 4.0 |