Linearization, Factorization, and the Spectral Compression of a Self-adjoint Analytic Operator Function Under the Condition (VM)

DOI10.1007/978-3-0348-0221-5_20zbMath1272.47023OpenAlexW153247446MaRDI QIDQ2915205

Alexander Markus, Vladimir Matsaev, Heinz K. Langer

Publication date: 21 September 2012

Published in: A Panorama of Modern Operator Theory and Related Topics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-0348-0221-5_20

zbMATH Keywords

linearizationself-adjoint analytic operator function

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) 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
• The spectral properties of a certain class of self-adjoint operator functions
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• Self-adjoint analytic operator functions and their local spectral function
• ON THE BASIS PROPERTY FOR A CERTAIN PART OF THE EIGENVECTORS AND ASSOCIATED VECTORS OF A SELFADJOINT OPERATOR PENCIL