Original scientific paper

https://doi.org/10.3336/gm.44.1.11

On the order structure on the set of completely multi-positive linear maps on C*-algebras

Maria Joita ; Department of Mathematics, Faculty of Chemistry, University of Bucharest, Romania
Tania-Luminita Costache ; Department of Mathematics, Faculty of Chemistry, University of Bucharest, Romania
Mariana Zamfir ; Department of Mathematics, Faculty of Chemistry, University of Bucharest, Romania

Abstract

In this paper we characterize the order relation on the set of all completely n-positive linear maps on C*-algebras in terms of the representation associated to each completely n-positive linear map given by Suen's construction.

Keywords

C*-algebra; completely multi-positive linear map; Radon-Nikodym type theorem; pure completely multi-positive linear map; extremal completely multi-positive linear map

Hrčak ID:

36952

URI

https://hrcak.srce.hr/36952

Publication date:

21.5.2009.

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