Timeline for What is your favorite isomorphism?
Current License: CC BY-SA 2.5
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Sep 3, 2010 at 5:31 | comment | added | Yemon Choi | Group actions (this is a version of, or manifestation of, the fact that Z and T are dual abelian groups). I was also alluding to the fact that any separable Hilbert space is isomorphic to $\ell^2$, and yet in many instances this doesn't simplify the theory or the problems -- the reason we study lots of different Hilbert spaces is because they are attached to other structure (e.g. reproducing kernel Hilbert spaces) | |
| Sep 3, 2010 at 0:46 | comment | added | Michael Hardy | Which additional "structure" do you have in mind that gets preserved, besides the Hilbert-space structure? | |
| Sep 2, 2010 at 23:54 | comment | added | Yemon Choi | I'd argue that this is not so much interesting in the category of Hilbert spaces and bounded linear maps, as in categories of Hilbert spaces with structure and bounded linear maps preserving that structure | |
| Sep 2, 2010 at 23:25 | history | answered | Michael Hardy | CC BY-SA 2.5 |