A New Proof of an Ellis-Gohberg Theorem on Orthogonal Matrix Functions Related to the Nehari Problem

doi:https://doi.org/10.1007/3-7643-7398-9_10

A New Proof of an Ellis-Gohberg Theorem on Orthogonal Matrix Functions Related to the Nehari Problem

G. J. Groenewald,M. A. Kaashoek-2005-01-01-Birkhäuser Basel eBooks

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TL;DRAbstract

The state space method for rational matrix functions and a classical inertia theorem are used to give a new proof of the main step in a recent theorem of R.L. Ellis and I. Gohberg on orthogonal matrix functions related to the Nehari problem. Also we comment on a connection with the Nehari-Takagi interpolation problem.

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The state space method for rational matrix functions and a classical inertia theorem are used to give a new proof of the main step in a recent theorem of R.L. Ellis and I. Gohberg on orthogonal matrix functions related to the Nehari problem. Also we comment on a connection with the Nehari-Takagi interpolation problem.

Keywords

MathematicsMatrix (chemical analysis)Connection (principal bundle)Pure mathematicsAlgebra over a fieldApplied mathematics

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