Pairs of functions with indefinite Pick matrices

DOI10.1016/S0024-3795(02)00653-5zbMath1021.47002MaRDI QIDQ1873713

Alexander Kheifets, Leiba Rodman, Vladimir Bolotnikov

Publication date: 27 May 2003

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

zbMATH Keywords

reproducing kernelsPick matricesSchur functionnegative squaresPontryagin spacesCarathéodory matricesfactorization of analytic functionsoperator-valued symmetric kernelsprojective pairs of functions

Mathematics Subject Classification ID

Quadratic and bilinear forms, inner products (15A63) Linear operators on spaces with an indefinite metric (47B50) Forms (bilinear, sesquilinear, multilinear) (47A07)

Related Items (1)

Positive extension problems for a class of structured matrices.

Cites Work

• Interpolation of rational matrix functions
• Pick's conditions and analyticity
• On the existence and construction of solutions to the partial lossless inverse scattering problem with applications to estimation theory
• Functions Which are Almost Multipliers of Hilbert Function Spaces
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