On factorizations of analytic operator-valued functions and eigenvalue multiplicity questions

DOI10.1007/s00020-014-2200-7zbMath1316.47014arXiv1405.4910OpenAlexW1964121175WikidataQ114232101 ScholiaQ114232101MaRDI QIDQ2341266

Helge Holden, Roger A. Nichols, Friedrich Gesztesy

Publication date: 23 April 2015

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1405.4910

zbMATH Keywords

multiplicity of eigenvaluesfactorization of operator-valued analytic functionsindex computations for finitely meromorphic operator-valued functions

Mathematics Subject Classification ID

Perturbation theory of linear operators (47A55) 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)

Related Items (3)

Eigenvalue bounds for Schrödinger operators with complex potentials. III ⋮ Resonance frequencies of arbitrarily shaped dielectric cylinders ⋮ Vector valued de Branges spaces of entire functions based on pairs of Fredholm operator valued functions and functional model

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