Induced Stinespring factorization and the Wittstock support theorem

DOI10.1007/s00025-023-01908-4zbMath1526.46038arXiv2204.02963OpenAlexW4367291573WikidataQ123354079 ScholiaQ123354079MaRDI QIDQ6045110

James Eldred Pascoe, Ryan Tully-Doyle

Publication date: 26 May 2023

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

Full work available at URL: https://arxiv.org/abs/2204.02963

zbMATH Keywords

Stinespring factorisation theoremtransfer function realisationsWittstock decomposition

Mathematics Subject Classification ID

Operator spaces and completely bounded maps (46L07) Linear operator methods in interpolation, moment and extension problems (47A57) Noncommutative function spaces (46L52) Operator colligations (= nodes), vessels, linear systems, characteristic functions, realizations, etc. (47A48)

Cites Work

• Free Pick functions: representations, asymptotic behavior and matrix monotonicity in several noncommuting variables
• Noncommutative reproducing kernel Hilbert spaces
• Ein operatorwertiger Hahn-Banach Satz
• Interpolation and transfer-function realization for the noncommutative Schur-Agler class
• Free noncommutative hereditary kernels: Jordan decomposition, Arveson extension, kernel domination
• Nevanlinna-Pick interpolation for Schur-Agler class functions on domains with matrix polynomial defining function in \(\mathbb C^n\)
• Completely Bounded Maps on C ∗ -Algebras and Invariant Operator Ranges
• Structured Noncommutative Multidimensional Linear Systems
• Representation of free Herglotz functions
• Positive Functions on C ∗ -Algebras
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