Some criteria for the existence of divisors of a holomorphic operator function

DOI10.1007/BF01076374zbMath0558.47018MaRDI QIDQ762745

D. I. Taragan

Publication date: 1984

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

zbMATH Keywords

analytic operator functionlinearizatorpolynomial divisorspectral component

Mathematics Subject Classification ID

Invariant subspaces of linear operators (47A15) 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)

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Cites Work

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• Analytic operator functions with compact spectrum. I. Spectral nodes, linearization and equivalence
• Spectral analysis of families of operator polynomials and a generalized Vandermonde matrix II: The infinite dimensional case