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Surveys in Mathematics and its Applications

ISSN 1842-6298 (electronic), 1843 - 7265 (print)
 Volume 2 (2007), 113 - 122

CHARACTERIZATION OF THE ORDER RELATION ON THE SET OF COMPLETELY n-POSITIVE LINEAR MAPS BETWEEN C*-ALGEBRAS

Maria Joiţa, Tania-Luminiţa Costache and Mariana Zamfir

Abstract. In this paper we characterize the order relation on the set of all nondegenerate completely n-positive linear maps between C*-algebras in terms of a self-dual Hilbert module induced by each completely n-positive linear map.

2000 Mathematics Subject Classification: 46L05; 46L08.
Keywords: Hilbert module, C*-algebra, completely n-positive linear map, extreme points.

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Acknowledgment. This research was supported by CNCSIS grant code A 1065/2006.

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Maria Joiţa Tania - Luminita Costache
Department of Mathematics, Faculty of Applied Sciences,
Faculty of Chemistry, University "Politehnica",
University of Bucharest, Bucharest,
Romania. Romania.
e-mail: mjoita@fmi.unibuc.ro e-mail: lumycos@yahoo.com


Mariana Zamfir
Department of Mathematics and Informatics
Technical University of Civil Engineering Bucharest,
Romania.
e-mail: zacos@k.ro

http://www.utgjiu.ro/math/sma