Timeline for Abelianization of GL(H)
Current License: CC BY-SA 2.5
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Oct 27, 2009 at 21:56 | vote | accept | Mike Hartglass | ||
| Oct 27, 2009 at 0:29 | comment | added | Faisal | Polar decomposition is how Halmos proceeds. He relies on some tricks to show that every invertible normal operator is the product of two commutators. | |
| Oct 27, 2009 at 0:06 | comment | added | Eric Wofsey | By polar decomposition, it suffices to show every unitary is a commutator and every positive self-adjoint operator is a commutator. This can probably be done with spectral theory, though I don't see how exactly. | |
| Oct 26, 2009 at 23:07 | history | answered | Faisal | CC BY-SA 2.5 |