Timeline for Every linear topological space embeds into the Tychonoff product of linear metric spaces
Current License: CC BY-SA 4.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Feb 7, 2022 at 13:56 | comment | added | Jochen Wengenroth | In the locally convex case, the condition can be reformulated as the completeness of the space considered as a topological group where a basis of the $0$-neighbourhoods is given by the kernels of continuous seminorms. This has been called seminorm-kernel-completeness in my Derived Functors in Functional Analysis. The characterization projective limit of normed spaces $\Leftrightarrow$ sk-completeness is simple but nevertheless nice. I would be very interested in getting a reference for this little result. | |
| May 12, 2019 at 7:03 | comment | added | Sergei Akbarov | user131781, I have doubts that I was right when deleting my question about compact sets in nuclear spaces. Would you like this question to be "undeleted" so that you could write an answer? | |
| May 11, 2019 at 14:56 | comment | added | Sergei Akbarov | Ah, I see. I think you should give a reference. | |
| May 11, 2019 at 13:14 | comment | added | user131781 | Of course I don‘t. That would make the third claim absurd | |
| May 11, 2019 at 12:04 | comment | added | Sergei Akbarov | I think you mean $d(x_\alpha,x_\beta)<\varepsilon$ (for a given $\varepsilon$). | |
| May 11, 2019 at 11:51 | history | answered | user131781 | CC BY-SA 4.0 |