Timeline for Exactness of completed tensor product of nuclear spaces
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jul 23, 2020 at 11:38 | answer | added | J. van Dobben de Bruyn | timeline score: 5 | |
| Jul 10, 2020 at 16:00 | comment | added | J. van Dobben de Bruyn | (For Fréchet spaces, quotients are automatically complete, but this is not true for complete locally convex spaces — see this question.) | |
| Jul 10, 2020 at 15:52 | comment | added | J. van Dobben de Bruyn | To make sure I understand the question correctly... For nuclear spaces, injective = projective (tensor product). The injective tensor product preserves topological monomorphisms, and the projective tensor product preserves topological homomorphisms with dense range. So you are really asking whether the quotient $(W \mathbin{\hat\otimes} U)/(V \mathbin{\hat\otimes} U)$ is always complete, right? Or am I missing something? | |
| Jun 30, 2020 at 8:24 | comment | added | ABIM | Did you ever find an answer to this? | |
| Jan 21, 2012 at 21:32 | history | asked | Rami | CC BY-SA 3.0 |