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A Radon-Nikodym type theorem for invariant symmetric completely positive and completely bounded multilinear maps on HilbertC*-modules
- Authors
- Heo, Jaeseong; Joita, Maria
- Issue Date
- Sep-2020
- Publisher
- TAYLOR & FRANCIS LTD
- Keywords
- Completely positive and completely bounded multilinear map; invariant multilinear map; Hilbert; phi-map; (minimal) Stinespring' s representation; Radon-Nikodym derivative
- Citation
- LINEAR & MULTILINEAR ALGEBRA, v.68, no.9, pp.1878 - 1893
- Indexed
- SCIE
SCOPUS
- Journal Title
- LINEAR & MULTILINEAR ALGEBRA
- Volume
- 68
- Number
- 9
- Start Page
- 1878
- End Page
- 1893
- ISSN
- 0308-1087
- Abstract
- We introduce a partial order relation on the set of all completely positive pairs of invariant symmetric and completely bounded multilinear maps on HilbertC*-modules andC*-algebras and establish a Radon-Nikodym type theorem for these pairs in terms of their Stinespring type representations.
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Related Researcher
- Heo, Jae seong
- COLLEGE OF NATURAL SCIENCES (DEPARTMENT OF MATHEMATICS)