Interpolation problems for Schur multipliers on the Drury--Arveson space: from Nevanlinna--Pick to abstract interpolation problem

DOI10.1007/S00020-008-1626-1zbMath1170.47006OpenAlexW2029658715MaRDI QIDQ1030479

Vladimir Bolotnikov, Joseph A. Ball

Publication date: 1 July 2009

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

Full work available at URL: https://doi.org/10.1007/s00020-008-1626-1

zbMATH Keywords

Stein equationDrury-Arveson spacelinear fractional mapSchur-Agler classNevanlinna-Pick problemabstract interpolation

Mathematics Subject Classification ID

Linear operator methods in interpolation, moment and extension problems (47A57) Research exposition (monographs, survey articles) pertaining to operator theory (47-02) Power series, series of functions of several complex variables (32A05) Linear operators on spaces with an indefinite metric (47B50) Operator colligations (= nodes), vessels, linear systems, characteristic functions, realizations, etc. (47A48) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32)

Related Items (13)

de Branges–Rovnyak Spaces and Norm-Constrained Interpolation ⋮ Interpolation problems for certain classes of slice hyperholomorphic functions ⋮ Commutators and localization on the Drury-Arveson space ⋮ Interpolation in multivariable de Branges-Rovnyak spaces ⋮ Non-commutative polynomial solutions to partial differential equations ⋮ Contractive multipliers from Hardy space to weighted Hardy space ⋮ Interpolation by Contractive Multipliers Between Fock Spaces ⋮ Corrigendum to “Multipliers and essential norm on the Drury-Arveson space” ⋮ Abstract interpolation in vector-valued de Branges-Rovnyak spaces ⋮ NON-COMMUTATIVE REPRESENTATIONS OF FAMILIES OF k² COMMUTATIVE POLYNOMIALS IN 2k² COMMUTING VARIABLES ⋮ Multipliers and essential norm on the Drury-Arveson space ⋮ Interpolation in de Branges-Rovnyak spaces ⋮ Nevanlinna-Pick Interpolation via Graph Spaces and Kreĭn-space Geometry: A Survey

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