Timeline for On analogue of ratio in operator algebras
Current License: CC BY-SA 4.0
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Sep 18, 2019 at 16:27 | vote | accept | sibani | ||
| Sep 17, 2019 at 17:37 | answer | added | Bram Westerbaan | timeline score: 5 | |
| Sep 16, 2019 at 20:19 | comment | added | Jochen Glueck | Well, you could define $f$ and $g$ to have a ratio "to the right" if there exists a unique element $a$ such that $ag = f$, and in this case define $f/g := a$. Similarly, you could define a ratio "to the left" $g\backslash f$. But this seems to work for general algebras (or rings, or even semigroups...), so it doesn't seem to have much to do with von Neumann algebras. I'm not sure, though, if you can maybe characterize the existence of such ratios $f/g$ and $g\backslash f$ in the von Neumann algebra setting (say, for instance, in terms of a spectral condition). | |
| Sep 16, 2019 at 15:53 | history | asked | sibani | CC BY-SA 4.0 |