Modular sesquilinear forms and generalized Stinespring representation

DOI10.3103/S1066369X18120034zbMath1436.46047OpenAlexW2905467456MaRDI QIDQ1735154

M. A. Pliev, A. V. Kalinichenko, I. N. Maliev

Publication date: 28 March 2019

Published in: Russian Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1066369x18120034

zbMATH Keywords

completely positive mapStinespring's representationHilbert \(C^\ast\)-modulepositive definite kernelsesquilinear form\(\ast\)-homomorphismlocally \(C^\ast\)-algebra

Mathematics Subject Classification ID

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

Cites Work

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• Modules, completely positive maps, and a generalized KSGNS construction
• Covariant version of the Stinespring type theorem for Hilbert \(C^*\)-modules
• A Stinespring type representation for operators in Hilbert modules over local \(C^\ast\)-algebras
• Operator integrals and sesquilinear forms
• On representation of Stinespring's type for \(n\)-tuples of completely positive maps in Hilbert \(C^\star\)-modules
• CP-H-extendable maps between Hilbert modules and CPH-semigroups
• Positive sesquilinear form measures and generalized eigenvalue expansions
• Matrix KSGNS construction and a Radon-Nikodym type theorem
• Stinespring's theorem for maps on Hilbert C*-modules
• Positive definite kernels and Hilbert C*-modules
• Positive Functions on C ∗ -Algebras

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