Caratheodory interpolation kernels

DOI10.1007/BF01193766zbMath0778.47006MaRDI QIDQ1187754

Scott A. McCullough

Publication date: 23 July 1992

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

zbMATH Keywords

Nevanlinna-Pick problemabstract positivity and contractivity theories of Hilbert space operatorsCarathéodory problem

Mathematics Subject Classification ID

Linear operator methods in interpolation, moment and extension problems (47A57) Dilations, extensions, compressions of linear operators (47A20)

Related Items

Absolute continuity for commuting row contractions, Factorizations induced by complete Nevanlinna-Pick factors, Spaces of Dirichlet series with the complete Pick property, Characterization of pure contractive multipliers and applications, A simple proof of necessity in the McCullough-Quiggin theorem, The Douglas property for multiplier algebras of operators, Interpolation in semigroupoid algebras, Nevanlinna-Pick interpolation and factorization of linear functionals, Hilbert spaces of Dirichlet series and their multipliers, Complete Nevanlinna-Pick kernels, Commutant lifting on a two holded domain, Carathéodory interpolation on the non-commutative polydisk, The structure of inner multipliers on spaces with complete Nevanlinna Pick kernels, Free outer functions in complete Pick spaces

Cites Work

• Completion of partial matrices to contractions
• The Arveson extension theorem and coanalytic models
• Extensions of band matrices with band inverses
• On a quotient norm and the Sz.-Nagy-Foias lifting theorem
• Nevanlinna-Pick Interpolation on Sobolev Space
• Generalized Interpolation in H ∞
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