Timeline for Representation of algebras as bounded nilpotent operators
Current License: CC BY-SA 4.0
14 events
| when toggle format | what | by | license | comment | |
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| Mar 27, 2020 at 13:34 | vote | accept | Math-Phys-Cat Group | ||
| Mar 27, 2020 at 13:10 | answer | added | Nik Weaver | timeline score: 2 | |
| Mar 27, 2020 at 12:24 | comment | added | Math-Phys-Cat Group | I changed again my question. I forgot the commuting requirement. Now $\operatorname{Nil\mathcal{H}}$ is just the vector subspace of bounded operators such that $T^2=0$. This is enough for my problem. | |
| Mar 27, 2020 at 12:20 | history | edited | Math-Phys-Cat Group | CC BY-SA 4.0 |
Fixed grammar and fixed ambiguities on the statement
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| Mar 26, 2020 at 22:26 | comment | added | Nik Weaver | Thank you, but I'm still confused. How do I tell whether $T$ belongs to Nil$(\mathcal{H})$? It has to commute with everything else in Nil$(\mathcal{H})$. So I already need to know what is in Nil$(\mathcal{H})$. | |
| Mar 26, 2020 at 22:02 | comment | added | Math-Phys-Cat Group | And I tried to clarify the meaning of "subalgebra of those nilpotent bounded operators which mutually commute" editing my question. Actually, it was bad written. Sorry for this and thanks for the comment. | |
| Mar 26, 2020 at 22:00 | history | edited | Math-Phys-Cat Group | CC BY-SA 4.0 |
added 76 characters in body
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| Mar 26, 2020 at 21:55 | comment | added | Math-Phys-Cat Group | PI = Polynomial Identity. | |
| Mar 26, 2020 at 19:40 | comment | added | Nik Weaver | What are "PI's" in the first sentence, and can you clarify what you mean by "subalgebra of those nilpotent bounded operators which mutually commute"? | |
| Mar 26, 2020 at 17:42 | history | edited | YCor | CC BY-SA 4.0 |
added tag, removed capitals
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| Mar 26, 2020 at 17:37 | comment | added | Math-Phys-Cat Group | Thank you for this remark. | |
| Mar 26, 2020 at 17:33 | comment | added | Tomasz Kania | All infinite-dimensional separable Hilbert spaces are isometric hence they have the same algebras of bounded operators. As you you look at algebraically defined entities, the question does not depend on the particular incarnation of $H$. | |
| Mar 26, 2020 at 17:30 | review | First posts | |||
| Mar 26, 2020 at 17:49 | |||||
| Mar 26, 2020 at 17:26 | history | asked | Math-Phys-Cat Group | CC BY-SA 4.0 |