Classes of tuples of commuting contractions satisfying the multivariable von Neumann inequality

DOI10.1016/j.jfa.2008.09.012zbMath1167.47009OpenAlexW2161070750MaRDI QIDQ1019691

Dmitry S. Kaliuzhnyi-Verbovetskyi, Anatolii Grinshpan, Hugo J. Woerdeman, Victor Vinnikov

Publication date: 4 June 2009

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

Full work available at URL: https://doi.org/10.1016/j.jfa.2008.09.012

zbMATH Keywords

Nevanlinna-Pick interpolation problemspectral setvon Neumann inequalitycommuting contractionsSchur-Agler classunitary dilationscattering system

Mathematics Subject Classification ID

Several-variable operator theory (spectral, Fredholm, etc.) (47A13)

Related Items

Isometric dilations of commuting contractions and Brehmer positivity, The Use of Kernel Functions in Solving the Pick Interpolation Problem, An Introduction to Hilbert Module Approach to Multivariable Operator Theory, Commutative Dilation Theory, Canonical Transfer-function Realization for Schur-Agler-class Functions of the Polydisk, Kernel decompositions for Schur functions on the polydisk, Norm-constrained determinantal representations of multivariable polynomials, Characterization of pure contractive multipliers and applications, Fundamental Agler decompositions, Inner functions on the bidisk and associated Hilbert spaces, Isometric dilations and von Neumann inequality for finite rank commuting contractions, Dilations of semigroups of contractions through vessels, A general Christoffel-Darboux type formula, Canonical Agler decompositions and transfer function realizations, Factorizations of Schur functions, Functional models of \(\Gamma_n\)-contractions and characterization of \(\Gamma_n\)-isometries, Isometric dilations and von Neumann inequality for a class of tuples in the polydisc, Scattering systems with several evolutions and formal reproducing kernel Hilbert spaces, Ky Fan inequalities, Kummert's approach to realization on the bidisk, Nevanlinna representations in several variables

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