A Stinespring type representation for operators in Hilbert modules over local \(C^\ast\)-algebras

DOI10.3103/S1066369X12120055zbMath1273.46039MaRDI QIDQ1941678

I. N. Maliev, M. A. Pliev

Publication date: 21 March 2013

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

zbMATH Keywords

Hilbert modulescompletely positive maps\(\ast\)-homomorphismslocal \(C^\ast\)-algebraslocal Hilbert spaces

Mathematics Subject Classification ID

(C^*)-modules (46L08) General theory of (C^*)-algebras (46L05)

Related Items

Stinespring's theorem for unbounded operator valued local completely positive maps and its applications, Matrix KSGNS construction and a Radon-Nikodym type theorem, The triangle equality in Hilbert \(A\)-modules, Modular sesquilinear forms and generalized Stinespring representation, On representation of Stinespring's type for \(n\)-tuples of completely positive maps in Hilbert \(C^\star\)-modules, Unbounded local completely positive maps of local order zero

Cites Work

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• Stinespring's theorem for maps on Hilbert C*-modules
• B ^∗ -Algebras and their Representation
• Modules Over Operator Algebras
• Positive Functions on C ∗ -Algebras