Stinespring's theorem for unbounded operator valued local completely positive maps and its applications

DOI10.1016/j.indag.2021.01.001zbMath1471.46058arXiv2004.12717OpenAlexW3119274074MaRDI QIDQ2657651

B. V. Rajarama Bhat, Santhosh Kumar Pamula, Anindya Ghatak

Publication date: 14 March 2021

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.12717

zbMATH Keywords

Radon-Nikodym theoremHilbert \(C^\ast\)-modulequantized domainStinespring's theoremlocal completely contractive mapslocal completely positive mapslocally \(C^\ast\)-algebras

Mathematics Subject Classification ID

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

Related Items

A Radon–Nikodým theorem for local completely positive invariant multilinear maps, Local boundary representations of locally \(\mathrm{C}^\ast \)-algebras, Factorization properties for unbounded local positive maps, Unbounded local completely contractive maps, Local boundary representations for local operator systems, Finsler locally \(C^*\)-modules, Quantized Hilbert modules over local operator algebras and hyperrigidity of local operator systems, Unbounded local completely positive maps of local order zero, Krein space representations and Radon-Nikodým theorem for local \(\alpha \)-completely positive maps

Cites Work

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• Comparison of completely positive maps on Hilbert \(C^*\)-modules
• Local operator spaces, unbounded operators and multinormed \(C^*\)-algebras
• Stable isomorphism and strong Morita equivalence of \(C^*\)-algebras
• Hermitian K-theory over topological *-algebras
• A Stinespring type representation for operators in Hilbert modules over local \(C^\ast\)-algebras
• Local operator multipliers and positivity
• CP-H-extendable maps between Hilbert modules and CPH-semigroups
• Matrix KSGNS construction and a Radon-Nikodym type theorem
• Subalgebras of \(C^ *\)-algebras
• Multinormed $W^{∗}$-algebras and unbounded operators
• Stinespring's theorem for maps on Hilbert C*-modules
• Local operator algebras, fractional positivity and the quantum moment problem
• A Factorization Theorem for $\varphi$--Maps
• Strict Completely Positive Maps between Locally C ^* -Algebras and Representations on Hilbert Modules
• Tensor Products of Hilbert Modules Over Locally C *-Algebras
• A Stinespring type theorem for completely positive multilinear maps on Hilbert C*-modules
• Operator models for Hilbert locally C^∗-modules
• KSGNS construction for τ-maps on S-modules and ᵌ0-families
• LOCALLY C*-ALGEBRA
• Positive Functions on C ∗ -Algebras