Effective noncommutative Nevanlinna-Pick interpolation in the row ball, and applications

DOI10.1016/j.jmaa.2020.124457OpenAlexW3047012223MaRDI QIDQ2199296

Meric Augat, James Eldred Pascoe, Michael T. Jury

Publication date: 16 September 2020

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.07556

zbMATH Keywords

Nevanlinna-Pick interpolationnoncommutative function theoryfree semigroup algebra

Mathematics Subject Classification ID

Several-variable operator theory (spectral, Fredholm, etc.) (47A13) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22)

Related Items

Sub-Hardy-Hilbert spaces in the non-commutative unit row ball ⋮ Hill representations for \(\ast\)-linear matrix maps

Cites Work

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• Hardy algebras, \(W^*\)-correspondences and interpolation theory
• Nevanlinna-Pick interpolation for non-commutative analytic Toeplitz algebras
• Interpolation and transfer-function realization for the noncommutative Schur-Agler class
• A corona theorem for multipliers on Dirichlet space
• The outer spectral radius and dynamics of completely positive maps
• Committee spaces and the random column-row property
• An elementary method to compute the algebra generated by some given matrices and its dimension
• Foundations of Free Noncommutative Function Theory
• Pick Interpolation for free holomorphic functions
• Operator Theory and Function Theory in Drury–Arveson Space and Its Quotients
• Spectral Properties of Positive Maps on C^* -Algebras
• Algebras of bounded noncommutative analytic functions on subvarieties of the noncommutative unit ball
• Factorization in weak products of complete Pick spaces
• Interpolating Sequences in Spaces with the Complete Pick Property

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