Timeline for Two Definitions of Non-commutative $L^p$ space
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
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| Apr 1, 2023 at 7:39 | comment | added | Martin Sleziak | The link in the question no longer works, but it seems quite likely that the intended paper is Edward Nelson: Notes on non-commutative integration, Journal of Functional Analysis Volume 15, Issue 2, February 1974, Pages 103-116, DOI: 10.1016/0022-1236(74)90014-7 | |
| Aug 12, 2014 at 13:18 | comment | added | Malcolm King | @DmitriPavlov Thanks, I did not think carefully about this. I have to think harder!...:) | |
| Aug 11, 2014 at 18:34 | comment | added | Dmitri Pavlov | The two norms induced on S coincide by definition and S is dense in both spaces. Finally, both ambient spaces are complete, which proves the desired statement. | |
| Aug 10, 2014 at 9:05 | comment | added | Yemon Choi | Can't you just show that the map $\mathcal S\to L^0(\mathcal M, \tau)$ is an isometry for the p-norm, or am I missing something? | |
| Aug 10, 2014 at 6:56 | history | asked | Malcolm King | CC BY-SA 3.0 |