Nevanlinna-Pick interpolation for \({\mathbb{C}}+BH^\infty\)

DOI10.1007/S00020-008-1639-9zbMath1198.47026arXiv0803.1278OpenAlexW1966612486MaRDI QIDQ1035211

Mrinal Raghupathi

Publication date: 2 November 2009

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

Full work available at URL: https://arxiv.org/abs/0803.1278

zbMATH Keywords

invariant subspaceBlaschke productreproducing kernel Hilbert spaceNevanlinna-Pick interpolation

Mathematics Subject Classification ID

General theory of (C^*)-algebras (46L05) Linear operator methods in interpolation, moment and extension problems (47A57) 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)

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Spectra for Toeplitz operators associated with a constrained subalgebra ⋮ Rational dilation problems associated with constrained algebras ⋮ Generalization of Wolff's ideal theorem on H_K(B)^∞(ᵓb) ⋮ Test functions, Schur-Agler classes and transfer-function realizations: the matrix-valued setting ⋮ Duality, tangential interpolation, and Töplitz corona problems ⋮ Nevanlinna-Pick interpolation on distinguished varieties in the bidisk ⋮ A generalized Wolff's Ideal Theorem on certain subalgebras of \(H^{\infty}(\mathbb{D})\) ⋮ Nevanlinna-Pick interpolation and factorization of linear functionals ⋮ Eigenvalues of Toeplitz operators on the annulus and Neil algebra ⋮ Szegő and Widom theorems for finite codimensional subalgebras of a class of uniform algebras ⋮ Abrahamse's interpolation theorem and Fuchsian groups ⋮ Test functions in constrained interpolation ⋮ Multiplication by finite Blaschke factors on a general class of Hardy spaces

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