Timeline for An analogue of an old proposition
Current License: CC BY-SA 2.5
5 events
| when toggle format | what | by | license | comment | |
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| Jun 21, 2010 at 8:35 | history | edited | Yemon Choi | CC BY-SA 2.5 |
update in light of comments
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| Jun 21, 2010 at 8:33 | comment | added | Yemon Choi | Hmm, I may have been careless here: I was just thinking of putting $A= U \vert A\vert$ and $B=V \vert B\vert$ for partial isometries $U$ and $V$, then ${\rm tr}(A^*B) = {\rm tr} (\vert A\vert U^*V \vert B\vert)$ -- but then I've overlooked the fact that $\vert A\vert \vert B\vert$ might not be positive... Will have to think about this more! | |
| Jun 21, 2010 at 8:29 | comment | added | Russel | It is true $|tr(AB)|\leq tr(|AB|)$, but it is not true in general $tr(|AB|)\leq tr(|A| |B|)$. | |
| Jun 21, 2010 at 8:19 | comment | added | Matthew Daws |
I'm not seeing, right now, why $|tr(A^*B)|\leq tr(|A| |B|)$. Can you give a hint...
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| Jun 21, 2010 at 7:56 | history | answered | Yemon Choi | CC BY-SA 2.5 |