Hilbert \(C^*\)-modules as a subcategory of operator systems and injectivity

DOI10.1007/s11117-017-0530-9zbMath1394.46046OpenAlexW2762753511MaRDI QIDQ1752997

Mohammad B. Asadi, Reza Behmani, Hamed Nikpey, Ali Reza Medghalchi

Publication date: 25 May 2018

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11117-017-0530-9

zbMATH Keywords

completely positive mapsextension theoremsinjective objectsHilbert \(C^*\)-modulescompletely semi-\(\phi \)-maps

Mathematics Subject Classification ID

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

Cites Work

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• Comparison of completely positive maps on Hilbert \(C^*\)-modules
• CP-H-extendable maps between Hilbert modules and CPH-semigroups
• Stinespring's theorem for maps on Hilbert C*-modules
• A Factorization Theorem for $\varphi$--Maps
• Irreducible Representations of Hilbert <i>C*</i>-Modules
• Operator-valued maps on Hilbert C^∗-modules
• Inner Product Modules Over B ∗ -Algebras
• Positive Functions on C ∗ -Algebras