Determination of inner functions by their value sets on the circle

DOI10.1007/BF03321808zbMath1271.30031OpenAlexW2001528885WikidataQ56319193 ScholiaQ56319193MaRDI QIDQ643213

Jonathan R. Partington, Pamela Gorkin, Isabelle Chalendar

Publication date: 28 October 2011

Published in: Computational Methods and Function Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03321808

zbMATH Keywords

numerical rangecomposition operatorsBlaschke productsinner functionsreal meromorphic functionsmodel space of an inner function

Mathematics Subject Classification ID

Numerical range, numerical radius (47A12) Moment problems and interpolation problems in the complex plane (30E05) Linear composition operators (47B33) Hardy spaces (30H10) Inner functions of one complex variable (30J05)

Related Items (5)

Numerical Ranges of Operators and Matrices ⋮ Numerical ranges of model operators and Clark measures ⋮ Rigidity of the numerical range of truncated shifts with isolated singularity on the unit circle ⋮ The numerical range of a contraction with finite defect numbers ⋮ Decomposing finite Blaschke products

Cites Work

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• Numerical ranges of \(C_{0}(N)\) contractions
• On the structure of invariant subspaces for isometric composition operators on \(H^2(\mathbb{D})\) and \(H^2(\mathbb{C}_+)\)
• Numerical range and Poncelet property.
• Über den numerischen Wertebereich eines Operators
• Eigenvalues in the boundary of the numerical range
• One dimensional perturbations of restricted shifts
• Similarity to an isometry of composition operators on the half-plane
• Numerical range ofs(φ)
• On a Connection Between the Numerical Range and Spectrum of an Operator on a Hilbert Space

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