Radon-Nikodym type theorem for alpha-completely positive maps
- Authors
- Heo, Jaeseong; Ji, Un Cig
- Issue Date
- Oct-2010
- Publisher
- AMER INST PHYSICS
- Citation
- JOURNAL OF MATHEMATICAL PHYSICS, v.51, no.10, pp.1 - 10
- Indexed
- SCIE
SCOPUS
- Journal Title
- JOURNAL OF MATHEMATICAL PHYSICS
- Volume
- 51
- Number
- 10
- Start Page
- 1
- End Page
- 10
- URI
- https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/173651
- DOI
- 10.1063/1.3496390
- ISSN
- 0022-2488
- Abstract
- We introduce a new notion of alpha-completely positive map on a C*-algebra as a generalization of the notion of completely positive map. Then we study a theorem of the Radon-Nikodym type that there is a one-to-one correspondence between alpha-completely positive maps and positive operators and, as an application of the Radon-Nikodym type theorem, we give a characterization of pure alpha-completely positive maps. Finally, we study a covariant version of the Stinespring's theorem for a covariant alpha-completely positive map (see Theorem 4.3).
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