Numerical range, dilation, and maximal operator systems
An operator system is a unital self-adjoint subspace of bounded linear operators. It is maximal if every positive linear map from it to another operator system is completely positive. In this paper, characterizations of maximal operator systems in terms of the joint numerical range are presented. Ne...
Elmentve itt :
| Szerzők: | |
|---|---|
| Dokumentumtípus: | Cikk |
| Megjelent: |
Bolyai Institute, University of Szeged
Szeged
2020
|
| Sorozat: | Acta scientiarum mathematicarum
86 No. 3-4 |
| Kulcsszavak: | Matematika |
| Tárgyszavak: | |
| doi: | 10.14232/actasm-020-871-y |
| Online Access: | http://acta.bibl.u-szeged.hu/73911 |
| LEADER | 01338nab a2200241 i 4500 | ||
|---|---|---|---|
| 001 | acta73911 | ||
| 005 | 20260218144525.0 | ||
| 008 | 211115s2020 hu o 000 eng d | ||
| 022 | |a 2064-8316 | ||
| 024 | 7 | |a 10.14232/actasm-020-871-y |2 doi | |
| 040 | |a SZTE Egyetemi Kiadványok Repozitórium |b hun | ||
| 041 | |a eng | ||
| 100 | 1 | |a Li Chi-Kwong | |
| 245 | 1 | 0 | |a Numerical range, dilation, and maximal operator systems |h [elektronikus dokumentum] / |c Li Chi-Kwong |
| 260 | |a Bolyai Institute, University of Szeged |b Szeged |c 2020 | ||
| 300 | |a 681-696 | ||
| 490 | 0 | |a Acta scientiarum mathematicarum |v 86 No. 3-4 | |
| 520 | 3 | |a An operator system is a unital self-adjoint subspace of bounded linear operators. It is maximal if every positive linear map from it to another operator system is completely positive. In this paper, characterizations of maximal operator systems in terms of the joint numerical range are presented. New families of maximal operator systems are identified. These results admit formulations in terms of numerical range inclusion and dilation of operators that unify and extend earlier results on the topic. | |
| 650 | 4 | |a Természettudományok | |
| 650 | 4 | |a Matematika | |
| 695 | |a Matematika | ||
| 700 | 0 | 1 | |a Poon Yiu Tung |e aut |
| 856 | 4 | 0 | |u http://acta.bibl.u-szeged.hu/73911/1/math_086_numb_003-004_681-696.pdf |z Dokumentum-elérés |