Timeline for How to show that every Von Neumann algebra is unital?
Current License: CC BY-SA 4.0
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| Nov 27, 2023 at 19:25 | comment | added | UtsabrajSarkar | @DmitriPavlov Yes, using Double Commutant theorem it is trivial. But in the Kehe Zhu book this theorem came before the statement of the aforementioned theorem. That's why I was looking for a proof without using it. | |
| Nov 27, 2023 at 17:49 | comment | added | Dmitri Pavlov | To answer the question as it is stated in the title: a von Neumann algebra coincides with its double commutant, and the double commutant always contains the identity operator. | |
| Nov 27, 2023 at 15:43 | history | edited | UtsabrajSarkar | CC BY-SA 4.0 |
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| Nov 27, 2023 at 7:35 | review | Close votes | |||
| Dec 10, 2023 at 3:05 | |||||
| Nov 27, 2023 at 7:33 | history | edited | Martin Sleziak | CC BY-SA 4.0 |
MathJax: \langle, \rangle
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| Nov 27, 2023 at 7:20 | history | edited | UtsabrajSarkar | CC BY-SA 4.0 |
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| Nov 27, 2023 at 7:17 | history | edited | UtsabrajSarkar | CC BY-SA 4.0 |
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| Nov 27, 2023 at 7:15 | history | edited | UtsabrajSarkar | CC BY-SA 4.0 |
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| S Nov 27, 2023 at 6:59 | review | First questions | |||
| Nov 27, 2023 at 8:16 | |||||
| S Nov 27, 2023 at 6:59 | history | asked | UtsabrajSarkar | CC BY-SA 4.0 |