Convexity analysis and the matrix-valued Schur class over finitely connected planar domains

DOI10.7900/JOT.2011SEP21.1940zbMath1349.46005arXiv1109.3793OpenAlexW2963885304MaRDI QIDQ5396812

Joseph A. Ball, Moisés D. Guerra Huamán

Publication date: 3 February 2014

Published in: Journal of Operator Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1109.3793

zbMATH Keywords

Choquet theorySchur classfinitely connected planar domainpositive operator measures\(C^*\)-convex combinationinterior point of the \(C^*\)-convex hull

Mathematics Subject Classification ID

Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Dilations, extensions, compressions of linear operators (47A20) Convex sets in topological linear spaces; Choquet theory (46A55) Operator colligations (= nodes), vessels, linear systems, characteristic functions, realizations, etc. (47A48)

Related Items (4)

Rational dilation problems associated with constrained algebras ⋮ Reflection positivity via Krein space analysis ⋮ Test functions, Schur-Agler classes and transfer-function realizations: the matrix-valued setting ⋮ Eigenvalues of Toeplitz operators on the annulus and Neil algebra

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