Duality of cones of positive maps
We study the so-called K-positive linear maps from B(L) into B(H) for finite dimensional Hilbert spaces L and H corresponding to a mapping cone K and give characterizations of the dual cone of the cone of K-positive maps. Applications are given to decomposable maps and their relation to PPT-states.
| Verfasser: | |
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| FB/Einrichtung: | FB 10: Mathematik und Informatik |
| Dokumenttypen: | Artikel |
| Medientypen: | Text |
| Erscheinungsdatum: | 2009 |
| Publikation in MIAMI: | 20.08.2009 |
| Datum der letzten Änderung: | 11.05.2015 |
| Quelle: | Münster Journal of Mathematics, 2 (2009), S. 299-310 |
| Angaben zur Ausgabe: | [Electronic ed.] |
| Fachgebiet (DDC): | 510: Mathematik |
| Lizenz: | InC 1.0 |
| Sprache: | English |
| Format: | PDF-Dokument |
| URN: | urn:nbn:de:hbz:6-10569446523 |
| Permalink: | https://nbn-resolving.de/urn:nbn:de:hbz:6-10569446523 |
| Onlinezugriff: | mjm_vol_2_13.pdf |
We study the so-called K-positive linear maps from B(L) into B(H) for finite dimensional Hilbert spaces L and H corresponding to a mapping cone K and give characterizations of the dual cone of the cone of K-positive maps. Applications are given to decomposable maps and their relation to PPT-states.