Timeline for Spectral theory in non-separable Hilbert Spaces
Current License: CC BY-SA 4.0
8 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Sep 28, 2019 at 22:55 | comment | added | sbisaf | I acknowledge your comments. I agree my question was not clearly expressed. The example of Francois is very fitting and both comments were clarifying to me. Although I didn't express it precisely, my concern was with the behavior of the operator outside the the subspace spanned by the eigenvectors. I understand that there is no universal behavior under the only assumption of self-adjointness. | |
| Sep 27, 2019 at 16:56 | comment | added | Robert Furber | In the formulation of the spectral theorem using projection-valued measures, there's no difference in the statement between separable and inseparable Hilbert spaces, for example. | |
| Sep 27, 2019 at 13:07 | answer | added | Nik Weaver | timeline score: 2 | |
| Sep 27, 2019 at 9:25 | answer | added | user131781 | timeline score: 2 | |
| Sep 27, 2019 at 4:15 | review | Close votes | |||
| Oct 1, 2019 at 2:37 | |||||
| Sep 27, 2019 at 3:58 | comment | added | Francois Ziegler | Clarification needed on what “something similar” means. The spectral theorem doesn’t require separability, and the property in quotes fails in general (consider multiplication by $x\mapsto x$ in $\ell^2(\mathbf R)$). | |
| Sep 27, 2019 at 3:05 | review | First posts | |||
| Sep 27, 2019 at 3:08 | |||||
| Sep 27, 2019 at 3:02 | history | asked | sbisaf | CC BY-SA 4.0 |