Completely bounded maps on $C^{\ast }$-algebras and invariant operator ranges
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- by Vern I. Paulsen PDF
- Proc. Amer. Math. Soc. 86 (1982), 91-96 Request permission
Abstract:
We give a new proof that every completely bounded map from a ${C^* }$-algebra into $\mathcal {L}(\mathcal {H})$ lies in the linear span of the completely positive maps. In addition, we obtain an equivalent reformulation of the invariant operator range problem.References
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Additional Information
- © Copyright 1982 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 86 (1982), 91-96
- MSC: Primary 46L05; Secondary 47A15
- DOI: https://doi.org/10.1090/S0002-9939-1982-0663874-4
- MathSciNet review: 663874