A Radon-Nikodym type theorem for invariant symmetric completely positive and completely bounded multilinear maps on HilbertC*-modules

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초록

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.

키워드

Completely positive and completely bounded multilinear mapinvariant multilinear mapHilbertphi-map(minimal) Stinespring's representationRadon-Nikodym derivativeREPRESENTATIONS
제목
A Radon-Nikodym type theorem for invariant symmetric completely positive and completely bounded multilinear maps on HilbertC*-modules
저자
Heo, JaeseongJoita, Maria
DOI
10.1080/03081087.2019.1566429
발행일
2020-09
유형
Article
저널명
Linear and Multilinear Algebra
68
9
페이지
1878 ~ 1893