Stable factorization of operator polynomials. II: Main results and applications to Toeplitz operators

DOI10.1016/0022-247X(80)90303-0zbMath0447.47010OpenAlexW2011987389MaRDI QIDQ1146365

Leonid Lerer, Leiba Rodman, Israel Gohberg

Publication date: 1980

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(80)90303-0

zbMATH Keywords

Wiener-Hopf factorizationFredholm indexoperator polynomials

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Factorization theory (including Wiener-Hopf and spectral factorizations) of linear operators (47A68) (Semi-) Fredholm operators; index theories (47A53) Convolution, factorization for one variable harmonic analysis (42A85) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10)

Related Items

Explicit and asymptotic formulas for \(LDM^ t\) factorization of banded Toeplitz matrices, On the Structure of Selfadjoint Toeplitz Operators with Rational Matrix Symbols, An elementary description of partial indices of rational matrix functions, General theory of regular matrix polynomials and band Toeplitz operators, On non-square sections of Wiener-Hopf operators, On Wiener-Hopf factorization of meromorphic matrix functions, Extensions of kernels of Fredholm operators, Fractional and Wiener-Hopf factorizations, Rational matrix and operator functions with prescribed singularities, Bezoutian and Schur-Cohn problem for operator polynomials

Cites Work

• Stable factorization of operator polynomials. I: Spectral divisors simply behaved at infinity
• Spectral analysis of matrix polynomials. I. Canonical forms and divisors
• On canonical factorization of operator polynomials, spectral divisors and Toeplitz matrices
• Spectral analysis of matrix polynomials. II. The resolvent form and spectral divisors
• On spectral analysis of non-monic matrix and operator polynomials. I: reduction to monic polynomials
• Spectral analysis of families of operator polynomials and a generalized Vandermonde matrix II: The infinite dimensional case
• Representations and Divisibility of Operator Polynomials
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