Relaxation of metric constrained interpolation and a new lifting theorem

DOI10.1007/BF01193630zbMath1060.47021MaRDI QIDQ1601364

Ciprian Foias, Arthur E. Frazho, Marinus A. Kaashoek

Publication date: 2002

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

zbMATH Keywords

metric constrained interpolationrelaxed commutant lifting theorem

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Linear operator methods in interpolation, moment and extension problems (47A57) Dilations, extensions, compressions of linear operators (47A20) Free nonabelian groups (20E05)

Related Items

Relaxed commutant lifting: Existence of a unique solution ⋮ Redheffer representations and relaxed commutant lifting ⋮ Optimal approximation of discrete-time multirate systems on Hilbert spaces ⋮ Free pluriharmonic majorants and commutant lifting ⋮ The inverse commutant lifting problem. I: Coordinate-free formalism ⋮ 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 ⋮ Relaxed Commutant Lifting: An Equivalent Version and a New Application ⋮ Contractive liftings and the commutator

Cites Work

• Completion of partial matrices to contractions
• Rational contractive and unitary interpolants in realized form
• The band method for positive and strictly contractive extension problems: An alternative version and new applications
• The commutant lifting approach to interpolation problems
• Quasitriangular subalgebras of semifinite von Neumann algebras are closed
• On a quotient norm and the Sz.-Nagy-Foias lifting theorem
• Central intertwining lifting, maximum entropy and their permanence
• Metric constrained interpolation, commutant lifting and systems
• Generalized Interpolation in H ∞
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item