Bezout equation, Vandermonde operators, and common multiples for operator polynomials

DOI10.1016/0022-247X(88)90365-4zbMath0656.47009MaRDI QIDQ1110059

Leiba Rodman

Publication date: 1988

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

zbMATH Keywords

Bezout equationcommon multiplesoperator polynomialscompact spectrainverse polynomial growthVandermonde operators

Mathematics Subject Classification ID

Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On relative primeness of operator polynomials
• Bezoutian and Schur-Cohn problem for operator polynomials
• Exact controllability and spectrum assignment
• Inertia and controllability in infinite dimensions
• Resultant operators and the Bezout equation for analytic matrix functions. II
• Fast projection methods for minimal design problems in linear system theory
• Analytic operator functions with compact spectrum. I. Spectral nodes, linearization and equivalence
• On strong controllability of infinite-dimensional linear systems
• Analytic operator functions with compact spectrum. II. Spectral pairs and factorization
• Spectral analysis of families of operator polynomials and a generalized Vandermonde matrix II: The infinite dimensional case
• Bezoutiante, Resultante und Spektralverteilungsprobleme für Operatorpolynome
• Common multiples and common divisors of matrix polynomials, II. Vandermonde and resultant matrices
• On weak and strong reachability and controllability of infinite- dimensional linear systems

This page was built for publication: Bezout equation, Vandermonde operators, and common multiples for operator polynomials