On approximate factorizations of completely positive maps
โ Scribed by C Anantharaman-Delaroche; J.F Havet
- Publisher
- Elsevier Science
- Year
- 1990
- Tongue
- English
- Weight
- 947 KB
- Volume
- 90
- Category
- Article
- ISSN
- 0022-1236
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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