Timeline for Tensor product of measure spaces
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
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| Jun 8, 2017 at 13:11 | comment | added | Matthias Ludewig | See my edit above. Having seen your answer, I cannot help but wonder, if $\mathcal{M} \hat{\otimes}_\varepsilon \mathcal{M}(Y)$ is contained in $\mathcal{M}(X \times Y)$ and whether the latter is contained in $\mathrm{Bil}(C(X) \times C(Y))$. | |
| Jun 8, 2017 at 13:10 | comment | added | Matthew Daws | No, you are completely correct!! I wrote the 2nd half first, and didn't go back to check... But I guess it's nice that you can completely characterise $M(X) \hat\otimes\pi M(Y)$ in terms of vector measures. | |
| Jun 8, 2017 at 12:40 | comment | added | Matthias Ludewig | Thank you for the great answer! What puzzles me here: Isn't it obvious that the $\mu$ you consider is not in $\mathcal{M}(X)\hat{\otimes}_\pi \mathcal{M}(Y)$ from the fact that it is not in $\mathcal{M}(X)\hat{\otimes}_\varepsilon \mathcal{M}(Y)$? | |
| Jun 8, 2017 at 12:23 | vote | accept | Matthias Ludewig | ||
| Jun 6, 2017 at 20:33 | history | answered | Matthew Daws | CC BY-SA 3.0 |