A Radon–Nikodým type theorem for invariant symmetric completely positive and completely bounded multilinear maps on Hilbert C*-modules

DOI10.1080/03081087.2019.1566429zbMath1462.46066OpenAlexW2910236819WikidataQ114641307 ScholiaQ114641307MaRDI QIDQ5125851

Jaeseong Heo, Maria Joiţa

Publication date: 2 October 2020

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081087.2019.1566429

zbMATH Keywords

Radon-Nikodym derivativeHilbert \(C^*\)-module(minimal) Stinespring's representation\( \varphi \)-mapcompletely positive and completely bounded multilinear mapinvariant multilinear map

Mathematics Subject Classification ID

(C^*)-modules (46L08) Operator spaces and completely bounded maps (46L07)

Cites Work

• Comparison of completely positive maps on Hilbert \(C^*\)-modules
• Covariant version of the Stinespring type theorem for Hilbert \(C^*\)-modules
• Covariant representations on Krein \(C^\ast\)-modules associated to pairs of two maps
• Representations of completely bounded multilinear operators
• Representations of invariant multilinear maps on Hilbert \(C^*\)-modules
• CP-H-extendable maps between Hilbert modules and CPH-semigroups
• Subalgebras of \(C^ *\)-algebras
• A Radon–Nikodým theorem for completely positive invariant multilinear maps and its applications
• Stinespring's theorem for maps on Hilbert C*-modules
• Corrigendum to ‘A Stinespring type theorem for completely positive multilinear maps on Hilbert C*-modules’ [Linear Multilinear Algebra 67 (2019), 121–140]
• Quantum stochastic processes for maps on Hilbert C*-modules
• Positive Functions on C ∗ -Algebras