Timeline for Series of linear maps: on a paper by Evans and Hanche-Olsen
Current License: CC BY-SA 3.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Nov 24, 2012 at 21:54 | comment | added | Ollie | 1. Yes, if $L$ is CCP it generates a CP semigroup. 2. Yes you can relax this condition on $L$ to (iii) and, as Evans shows, this is equivalent to the semigroup being positive. 3. I'm afraid I still don't know what you're asking for? Possibly you can edit the question to make this clearer | |
| Nov 23, 2012 at 3:27 | comment | added | RSG | @Nik Weaver and @Ollie Margetts The conditions are all equivalent. If $L$ were a conditionally completely positive, from condition (i) $e^{tL}$ becomes completely positive. I wanted to relax the conditionally completely positive criteria, such that (iii) still holds, and I can get, perhaps not a completely positive but a general positive map. | |
| Nov 22, 2012 at 21:30 | comment | added | Ollie | Perhaps OP actually wants a class of examples of conditionally positive maps which are not positive? | |
| Nov 22, 2012 at 20:39 | comment | added | Nik Weaver | Absolutely baffling question. You have just cited a paper that gives six equivalent versions of this condition. | |
| Nov 22, 2012 at 13:10 | history | edited | RSG | CC BY-SA 3.0 |
added 7 characters in body
|
| Nov 19, 2012 at 15:56 | history | edited | RSG | CC BY-SA 3.0 |
edited body; edited title
|
| Nov 19, 2012 at 15:12 | history | asked | RSG | CC BY-SA 3.0 |