Commutant lifting on a two holded domain

DOI10.1007/BF01225528zbMath0935.47007MaRDI QIDQ1306293

Scott A. McCullough

Publication date: 10 April 2000

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

zbMATH Keywords

commutant lifting theoremcompressions of bundle shiftsminimal norm extensiontwo holed domain

Mathematics Subject Classification ID

Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Linear operator methods in interpolation, moment and extension problems (47A57) Dilations, extensions, compressions of linear operators (47A20)

Related Items (2)

Linearly similar Szökefalvi-Nagy–Foias model in a domain ⋮ Interpolation in semigroupoid algebras

Cites Work

• The Pick interpolation theorem for finitely connected domains
• Interpolation problems and Toeplitz operators on multiply connected domains
• Caratheodory interpolation kernels
• Pick conditions on a uniform algebra and von Neumann inequalities
• A class of subnormal operators related to multiply-connected domains
• Unitary colligations, reproducing kernel Hilbert spaces, and Nevanlinna-Pick interpolation in several variables
• Nevanlinna-Pick type interpolation in a dual algebra
• Nevanlinna-Pick Interpolation on Sobolev Space
• Projective modules and Hilbert spaces with a Nevanlinna-Pick kernel
• Zero-pole interpolation for matrix meromorphic functions on a compact Riemann surface and a matrix Fay trisecant identity
• Generalized Interpolation in H ∞
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