Rational dilation problems associated with constrained algebras

DOI10.1016/j.jmaa.2018.06.057zbMath1482.47018arXiv1711.11090OpenAlexW2963004722WikidataQ57451923 ScholiaQ57451923MaRDI QIDQ1659283

Michael A. Dritschel, Batzorig Undrakh

Publication date: 15 August 2018

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

Full work available at URL: https://arxiv.org/abs/1711.11090

zbMATH Keywords

dilationsrealizationsinner functionsNevanlinna-Pick interpolationcompletely contractive representationsHerglotz representations

Mathematics Subject Classification ID

Linear operator methods in interpolation, moment and extension problems (47A57) Dilations, extensions, compressions of linear operators (47A20) Spectral sets of linear operators (47A25) Operator colligations (= nodes), vessels, linear systems, characteristic functions, realizations, etc. (47A48)

Related Items

Distinguished varieties through the Berger-Coburn-Lebow theorem ⋮ Spectra for Toeplitz operators associated with a constrained subalgebra ⋮ Dilation theory and functional models for tetrablock contractions ⋮ Interpolating sequences for the Banach algebras generated by a class of test functions ⋮ Pure inner functions, distinguished varieties and toral algebraic commutative contractive pairs ⋮ The truncated Hamburger moment problems with gaps in the index set ⋮ Szegő and Widom theorems for finite codimensional subalgebras of a class of uniform algebras

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