Structured invariant spaces of vector valued rational functions, Hermitian matrices, and a generalization of the Iohvidov laws

DOI10.1016/0024-3795(90)90128-YzbMath0706.15030OpenAlexW2041089576MaRDI QIDQ919073

Harry Dym, Daniel Alpay

Publication date: 1990

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0024-3795(90)90128-y

zbMATH Keywords

Schur complementindefinite inner productmatrix equationsinertiafinite dimensional reproducing kernel spacesHermitian Toeplitz and Hankel matricesIohvidov laws

Mathematics Subject Classification ID

Matrix equations and identities (15A24) Eigenvalues, singular values, and eigenvectors (15A18) Hermitian, skew-Hermitian, and related matrices (15B57) Quadratic and bilinear forms, inner products (15A63)

Related Items (8)

\(J_{\ell}\)-unitary factorization and the Schur algorithm for Nevanlinna functions in an indefinite setting ⋮ On a new class of realization formulas and their application ⋮ Structured invariant spaces of vector valued functions, sesquilinear forms, and a generalization of the Iohvidov laws ⋮ Some reproducing kernel spaces of continuous functions ⋮ On a new class of reproducing kernel spaces and a new generalization of the Iohvidov laws ⋮ Beurling-Lax type theorems in the complex and quaternionic setting ⋮ Augmented Schur Parameters for Generalized Nevanlinna Functions and Approximation ⋮ Boundary interpolation for slice hyperholomorphic Schur functions

Cites Work

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• Hilbert spaces of analytic functions, inverse scattering and operator models. I
• Hilbert spaces of analytic functions, inverse scattering and operator models. II
• Algebraic methods for Toeplitz-like matrices and operators
• On hermitian block Hankel matrices, matrix polynomials, the Hamburger moment problem, interpolation and maximum entropy
• Matrices and indefinite scalar products
• Displacement ranks of matrices and linear equations
• Asymptotically fast solution of Toeplitz and related systems of linear equations
• Topics in interpolation theory of rational matrix-valued functions
• Models for noncontractions
• Determination of the inertia of a partitioned Hermitian matrix
• Sonine spaces of entire functions
• On the existence and construction of solutions to the partial lossless inverse scattering problem with applications to estimation theory
• Some Hilbert Spaces of Analytic Functions

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