Structured invariant spaces of vector valued functions, sesquilinear forms, and a generalization of the Iohvidov laws

DOI10.1016/0024-3795(90)90137-2zbMath0706.15031OpenAlexW2074348357MaRDI QIDQ919074

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)90137-2

zbMATH Keywords

Toeplitz matrixHankel matrixrankreproducing kernelsesquilinear formVector spaces``Gram matrixIohvidov lawspairs of rational vector valued functionsstructured invariant spaces

Mathematics Subject Classification ID

Quadratic and bilinear forms, inner products (15A63) Vector spaces, linear dependence, rank, lineability (15A03)

Related Items (7)

Discrete analytic functions, structured matrices and a new family of moment problems ⋮ On a new class of realization formulas and their application ⋮ Beurling-Lax type theorems and Cuntz relations ⋮ On the Indefinite Trigonometric Moment Problem of I. S. Iohvidov and M. G. Kreîn ⋮ On linear combinations of positive functions, associated reproducing kernel spaces and a non Hermitian Schur algorithm ⋮ On a new class of reproducing kernel spaces and a new generalization of the Iohvidov laws ⋮ A theorem on reproducing kernel Hilbert spaces of pairs

Cites Work

• Hilbert spaces of analytic functions, inverse scattering and operator models. I
• Algebraic methods for Toeplitz-like matrices and operators
• Structured invariant spaces of vector valued rational functions, Hermitian matrices, and a generalization of the Iohvidov laws
• Displacement ranks of matrices and linear equations
• Models for noncontractions
• Sonine spaces of entire functions
• Some Hilbert Spaces of Analytic Functions
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