The Purification of Completely Positive Maps
โ Scribed by Demoen, B.
- Book ID
- 120093545
- Publisher
- Oxford University Press
- Year
- 1982
- Tongue
- English
- Weight
- 92 KB
- Volume
- 14
- Category
- Article
- ISSN
- 0024-6093
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๐ SIMILAR VOLUMES
## Abstract The paper is concerned with completely positive maps on the algebra of unbounded operatore __L__+(__D__) and on its completion __L__(D, D^+^). A decomposition theorem for continuous positive functionals is proved in [Tim. Loef.), and [Scholz 91] contains a generalization to maps into op
We construct a covariant functor from the category whose objects are the complex, infinite dimensional, separable Hilbert spaces and whose morphisms are the contractions into the category whose objects are the unital C\*-algebras and whose morphisms are the completely positive, identity-preserving m
Characterizations are given for the positive and completely positive maps on n x 1~ complex matrices that leave invariant the diagonal entries or the kth elementary symmetric function of the diagonal entries, 1 < k < n. In addition, it is shown that such a positive map is always decomposable if n <
Given any operator on the testfunction space, the general form of the induced completely positive map of the C\*-algebra of the canonical commutation relations is characterized.