Counterexamples to rational dilation on symmetric multiply connected domains

DOI10.1007/s11785-008-0079-5zbMath1209.47007arXiv0711.4080OpenAlexW3100709383WikidataQ124866454 ScholiaQ124866454MaRDI QIDQ1958654

James Pickering

Publication date: 4 October 2010

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0711.4080

zbMATH Keywords

hyperelliptic Riemann surfacesNevanlinna-Pick interpolationrational dilation

Mathematics Subject Classification ID

Compact Riemann surfaces and uniformization (30F10) Conformal mappings of special domains (30C20) Dilations, extensions, compressions of linear operators (47A20) Moment problems and interpolation problems in the complex plane (30E05) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Spectral sets of linear operators (47A25) Operator colligations (= nodes), vessels, linear systems, characteristic functions, realizations, etc. (47A48)

Related Items (4)

Contractions and the Commutant Lifting Theorem in Kreĭn Spaces ⋮ Rational dilation problems associated with constrained algebras ⋮ Test functions in constrained interpolation ⋮ Tests for complete \(K\)-spectral sets

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