A Schur type analysis of the minimal weak unitary Hilbert space dilations of a Kreĭn space bicontraction and the Relaxed Commutant Lifting Theorem in a Kreĭn space setting

DOI10.1016/j.jfa.2010.07.008zbMath1202.47010OpenAlexW1980734164MaRDI QIDQ709221

Stefania A. M. Marcantognini, María Dolores Morán

Publication date: 18 October 2010

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2010.07.008

zbMATH Keywords

coupling methodinterpolantArov-Grossman modelKreĭn space bicontractionRelaxed Commutant Lifting TheoremSchur analysisweak unitary dilation

Mathematics Subject Classification ID

Dilations, extensions, compressions of linear operators (47A20) Linear operators on spaces with an indefinite metric (47B50)

Related Items

Reflection positivity via Krein space analysis

Cites Work

• Abstract Hankel operators in Kreĭn spaces
• A Schur type analysis of the minimal unitary Hilbert space extensions of a Kreĭn space isometry whose defect subspaces are Hilbert spaces
• Relaxation of metric constrained interpolation and a new lifting theorem
• Coupling and relaxed commutant lifting
• The relaxed intertwining lifting in the coupling approach
• Scattering Matrices in the Theory of Unitary Extension of Isometric Operators
• Generalized Interpolation in H ∞
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