Timeline for solving trace norm equality
Current License: CC BY-SA 3.0
11 events
| when toggle format | what | by | license | comment | |
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| Jan 17, 2014 at 22:51 | comment | added | darij grinberg | Update to the reference in my comment above: now at web.archive.org/web/20130609003041/http://people.ds.cam.ac.uk/… | |
| Jun 7, 2013 at 1:03 | vote | accept | liubenyuan | ||
| Jun 5, 2013 at 5:13 | comment | added | liubenyuan | So I need to prove $(\mathbf{B}_i^{-1} + \gamma_i\mathbf{s}_i)^{-1}\mathbf{B}_i^{-1}(\mathbf{B}_i^{-1} + \gamma_i\mathbf{s}_i)^{-1}$ was included in the subset $\mathbf{M}$ ? | |
| Jun 4, 2013 at 18:24 | comment | added | Dietrich Burde | @Darij: yes, sorry. | |
| Jun 4, 2013 at 18:21 | history | edited | Dietrich Burde | CC BY-SA 3.0 |
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| Jun 4, 2013 at 17:47 | comment | added | darij grinberg | (If it is $\left[A,F\right]$ that Dietrich wanted to say, the result appears in C. Brookes' "Lectures on Lie Algebras", scribed by Eva Belmont people.ds.cam.ac.uk/eb525/lie-notes.pdf . It is Lemma 9.4 (3.25). The former number apparently can change while the latter is invariant. $x_s$ and $x_n$ are defined in Lemma 9.1 (3.22).) | |
| Jun 4, 2013 at 17:42 | comment | added | darij grinberg | @Dietrich: Do you really mean $AF-FA$, not $\left[A,F\right]$ (which are different things, e. g., because $AF-FA$ is the same as $AF+FA$) ? | |
| Jun 4, 2013 at 13:13 | history | edited | Dietrich Burde | CC BY-SA 3.0 |
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| Jun 4, 2013 at 13:04 | comment | added | Dietrich Burde | $End(V)$ is the space of all linear maps $A\colon V\rightarrow V$ (square matrices, if you want). | |
| Jun 4, 2013 at 12:43 | comment | added | liubenyuan | Sorry, dear Dietrich, I could not quite follow your answer. and what does End(V) mean ? Which book should I refer to ? However thanks for your answer, it seem like I could obtain $\mathrm{Tr}(B)=0$ with some additional constrains imposed on $\mathbf{A}$. | |
| Jun 4, 2013 at 10:57 | history | answered | Dietrich Burde | CC BY-SA 3.0 |