A Stinespring type theorem for completely positive multilinear maps on Hilbert C*-modules

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초록

We extend the Stinespring's representation theorem for two k-linear maps on a Hilbert C*-module and a C*-algebra. We prove a covariant representation theorem for two covariant k-linear maps and construct the extension of two k-linear maps to the crossed product Hilbert C*-module and the crossed product C*-algebra.

키워드

Completely positive multilinear mapinvariant multilinear mapHilbert -module-mapcovariant multilinear mapCOVARIANT VERSIONREPRESENTATIONS
제목
A Stinespring type theorem for completely positive multilinear maps on Hilbert C*-modules
저자
Heo, JaeseongJoita, Maria
DOI
10.1080/03081087.2017.1411880
발행일
2019-01
유형
Article
저널명
Linear and Multilinear Algebra
67
1
페이지
121 ~ 140