Timeline for $C^*$-algebra which is not von Neumann, but satisfies the property that ever self-adjoint element is
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Oct 3, 2017 at 11:46 | comment | added | Nik Weaver | Every element of $c_0$ is the limit of a sequence of linear combinations of the elements of the standard basis. | |
| Oct 3, 2017 at 9:27 | comment | added | user860374 | Thank you very much. I can see that this is a $C^*$-algebra that is not von Neumann (it does not contain the identity of $c$). However, I am not able to see how every self-adjoint element is the limit of a sequence of linear combinations of orthogonal idempotents. Can you please elaborate on that? | |
| Oct 3, 2017 at 6:57 | vote | accept | user860374 | ||
| S Sep 20, 2017 at 12:13 | history | answered | Nik Weaver | CC BY-SA 3.0 | |
| S Sep 20, 2017 at 12:13 | history | made wiki | Post Made Community Wiki by Nik Weaver |