Generators of semigroups of completely positive maps
β Scribed by Erik Christensen
- Publisher
- Springer
- Year
- 1978
- Tongue
- English
- Weight
- 314 KB
- Volume
- 62
- Category
- Article
- ISSN
- 0010-3616
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## 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
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 <
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