Decomposable positive maps on $C^{\ast }$-algebras
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- by Erling Størmer
- Proc. Amer. Math. Soc. 86 (1982), 402-404
- DOI: https://doi.org/10.1090/S0002-9939-1982-0671203-5
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Abstract:
It is shown that a positive linear map of a ${C^*}$-algebra $A$ into $B(H)$ is decomposable if and only if for all $n \in {\mathbf {\textrm {N}}}$ whenever $({x_{ij}})$ and $({x_{ji}})$ belong to ${M_n}{(A)^ + }$ then $(\phi ({x_{ij}}))$ belongs to ${M_n}{(B(H))^ + }$.References
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Bibliographic Information
- © Copyright 1982 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 86 (1982), 402-404
- MSC: Primary 46L05
- DOI: https://doi.org/10.1090/S0002-9939-1982-0671203-5
- MathSciNet review: 671203