Timeline for How can we define $\chi_{\Omega}(A)$?
Current License: CC BY-SA 4.0
6 events
| when toggle format | what | by | license | comment | |
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| Sep 16, 2021 at 1:14 | comment | added | MathMath | @LSpice thank you! | |
| Sep 16, 2021 at 1:12 | comment | added | LSpice | Your link to your other question instead pointed to a comment by @MaoWao. This seemed likely to be a typo, so I edited to point to the question. | |
| Sep 16, 2021 at 1:12 | history | edited | LSpice | CC BY-SA 4.0 |
Name of this text; name of other question
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| Sep 16, 2021 at 1:09 | comment | added | MathMath | @NarutakaOZAWA thanks for your comment! I know the Borel functional calculus is standard. However, there are many different approaches and I got interested on this construction made in the linked text, i.e. to construct the functional calculus directly from these operator-valued integrals. The only missing point here is how to define $\chi_{\Omega}(A)$ in the first place. I don't know any reference with this exactly construction. | |
| Sep 16, 2021 at 0:35 | comment | added | Narutaka OZAWA | Any standard textbook that covers operator theory contains a proof of that spectral theorem, but the text you cites is apparently an unfinished draft. | |
| Sep 16, 2021 at 0:08 | history | asked | MathMath | CC BY-SA 4.0 |