Characterization of the order relation on the set of completely n-positive linear maps between C<sup>*</sup>-algebras
In this paper we characterize the order relation on the set of all nondegenerate completely n-positive linear maps between C<sup>*</sup>-algebras in terms of a self-dual Hilbert module induced by each completely n-positive linear map.
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
University Constantin Brancusi of Targu-Jiu
2007-12-01
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| Series: | Surveys in Mathematics and its Applications |
| Subjects: | |
| Online Access: | http://www.utgjiu.ro/math/sma/v02/p08.pdf |
| Summary: | In this paper we characterize the order relation on the set of all nondegenerate completely n-positive linear maps between C<sup>*</sup>-algebras in terms of a self-dual Hilbert module induced by each completely n-positive linear map. |
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| ISSN: | 1843-7265 1842-6298 |