An elementary description of partial indices of rational matrix functions

DOI10.1007/BF01199887zbMath0719.47014MaRDI QIDQ2640115

Joseph A. Ball, Kevin F. Clancey

Publication date: 1990

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

zbMATH Keywords

factorization indices of a regular rational matrix function relative to a contourinvertibility of a Toeplitz operator with a rational matrix symbol on the unit circle

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Factorization theory (including Wiener-Hopf and spectral factorizations) of linear operators (47A68)

Related Items (3)

Exploring the spectra of some classes of singular integral operators with symbolic computation ⋮ Spectral factorization of rectangular rational matrix functions with application to discrete Wiener-Hopf equations ⋮ Symbolic computation applied to the study of the kernel of special classes of paired singular integral operators

Cites Work

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• Wiener-Hopf factorization, inverse Fourier transforms and exponentially dichotomous operators
• Minimal factorization of matrix and operator functions
• Stable factorization of operator polynomials. II: Main results and applications to Toeplitz operators
• Factorization of matrix functions and singular integral operators
• Spectral theory of the linear-quadratic optimal control problem: A new algorithm for spectral computations
• Factorization indices for matrix polynomials
• A FACTORIZATION PROBLEM IN NORMED RINGS, FUNCTIONS OF ISOMETRIC AND SYMMETRIC OPERATORS AND SINGULAR INTEGRAL EQUATIONS

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