Matrix measures and finite rank perturbations of self-adjoint operators

DOI10.4171/JST/324zbMath1487.47022arXiv1806.08856OpenAlexW3115431510MaRDI QIDQ2043642

Constanze Liaw, S. R. Treil'

Publication date: 3 August 2021

Published in: Journal of Spectral Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.08856

zbMATH Keywords

spectral theoryfinite rank perturbations

Mathematics Subject Classification ID

Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Vector-valued set functions, measures and integrals (28B05) Perturbation theory of linear operators (47A55) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56)

Related Items (8)

Geometry of planar curves intersecting many lines at a few points ⋮ Spectral properties of singular Sturm-Liouville operators via boundary triples and perturbation theory ⋮ Singular boundary conditions for Sturm–Liouville operators via perturbation theory ⋮ Weighted join operators on directed trees ⋮ Matrix-valued Aleksandrov-Clark measures and Carathéodory angular derivatives ⋮ A controlled tangential Julia-Carathéodory theory via averaged Julia quotients ⋮ On singular spectrum of finite-dimensional perturbations (toward the Aronszajn-Donoghue-Kac theory) ⋮ Perspectives on general left-definite theory

Cites Work

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• On a Problem of Weyl in the Theory of Singular Sturm-Liouville Equations
• Probability with Martingales
• On Matrix-Valued Herglotz Functions
• Perturbations of Self-Adjoint Transformation
• On the perturbation of spectra

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