Common multiples of operator polynomials with analytic coefficients

DOI10.1007/BF01168725zbMath0396.47008MaRDI QIDQ1253425

F. van Schagen, Israel Gohberg, Marinus A. Kaashoek

Publication date: 1978

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/154569

zbMATH Keywords

Jordan ChainMonic Common Left MultipleOperator PolynomialsVandermonde Operator

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Perturbation theory of linear operators (47A55) (Semi-) Fredholm operators; index theories (47A53) Matrices over function rings in one or more variables (15A54) Other generalizations of analytic functions (including abstract-valued functions) (30G30)

Related Items (1)

On existence of common multiples of monic operator polynomials

Cites Work

• Spectral analysis of matrix polynomials. I. Canonical forms and divisors
• Spectral analysis of families of operator polynomials and a generalized Vandermonde matrix II: The infinite dimensional case
• Representations and Divisibility of Operator Polynomials
• Unnamed Item

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