Timeline for How can we show that $E\:\hat\otimes_\pi\:E$ is isomorphic to a subspace of $\left(E'\:\hat\otimes_\pi\:E'\right)'$?
Current License: CC BY-SA 3.0
8 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jan 27, 2018 at 22:39 | vote | accept | 0xbadf00d | ||
| Jan 23, 2018 at 16:54 | comment | added | 0xbadf00d | @YemonChoi It's fine for me to assume that $E$ has the approximation property; but he doesn't make this assumption. | |
| Jan 23, 2018 at 16:53 | comment | added | 0xbadf00d | @YemonChoi I've found the claim in the book Semimartingales: A Course on Stochastic Processes by Michel Métivier on page 138. As I indicated in the question, I thought he means that $E\:\hat\otimes_\pi\:E$ is embedded into $\mathfrak B(E'\times E')$. | |
| Jan 23, 2018 at 16:02 | answer | added | Matthew Daws | timeline score: 2 | |
| Jan 23, 2018 at 10:02 | answer | added | Jochen Wengenroth | timeline score: 5 | |
| Jan 22, 2018 at 23:32 | comment | added | Yemon Choi | Secondly, my immediate instinct is to worry if something goes wrong when E does not have the approximation property | |
| Jan 22, 2018 at 23:32 | comment | added | Yemon Choi | Just to clarify: you are not trying to prove that $E\hat\otimes_\pi E$ is isomorphic to a closed subspace of ${\rm Bil}(E' \times E')$ are you? | |
| Jan 22, 2018 at 15:13 | history | asked | 0xbadf00d | CC BY-SA 3.0 |