Timeline for Positive extension of functionals on a subset of the state space of a $C^*$ algebra
Current License: CC BY-SA 2.5
7 events
| when toggle format | what | by | license | comment | |
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| Mar 5, 2011 at 15:33 | answer | added | Anna Jenčová | timeline score: 1 | |
| Feb 21, 2011 at 13:32 | history | edited | Anna Jenčová | CC BY-SA 2.5 |
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| Feb 20, 2011 at 22:09 | answer | added | Kate Juschenko | timeline score: 4 | |
| Feb 20, 2011 at 20:36 | comment | added | Anna Jenčová | Since $A$ is finite dimensional, the states can be identified with density operator with respect to a fixed trace, that is, positive operators with trace 1. Then $S(A)\subset A$. In the general case, the question has to be formulated in the dual space, but in finite dimensions, this is all the same. | |
| Feb 20, 2011 at 19:46 | comment | added | Matthew Daws | I guess Kate is asking: if $J\subset A$ then how can we intersect $S(A)$ with $J$, as $S(A)$ is a subset of the dual of $A$, not of $A$... | |
| Feb 20, 2011 at 15:53 | comment | added | Kate Juschenko | can you write more details, with what exactly do you intersect a subspace $J\subset A$? | |
| Feb 20, 2011 at 15:03 | history | asked | Anna Jenčová | CC BY-SA 2.5 |