Timeline for Measurable structures for direct integrals
Current License: CC BY-SA 4.0
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Oct 23, 2021 at 16:17 | vote | accept | Sebastian Bechtel | ||
| Oct 23, 2021 at 16:05 | comment | added | Stefaan Vaes | Yes, by Lemma 8.12 and Theorem 8.13 in Takesaki's "Theory of operator algebras. Volume I.", two measurable fields of separable Hilbert spaces over a standard measure space are isomorphic if and only if the dimensions are equal almost everywhere. So the "other examples" that I suggested are the only examples with constant fibers. | |
| Oct 23, 2021 at 15:24 | comment | added | Sebastian Bechtel | This is indeed a great example how to come up with other "different" measurable structures! Could you further explain your first assertion on uniqueness up to isomorphisms? | |
| Oct 23, 2021 at 11:37 | history | answered | Stefaan Vaes | CC BY-SA 4.0 |