We characterize the spectrum (and its parts) of operators which can be represented as "G=A+BC" for a "simpler" operator A and a structured perturbation BC. The interest in this kind of perturbations is motivated, e.g., by perturbations of the domain of an operator A but also arises in the theory of closed-loop systems in control theory. In many cases our results yield the spectral values of G as zeros of a "characteristic equation".

SPECTRAL THEORY FOR STRUCTURED PERTURBATIONS OF LINEAR OPERATORS

ENGEL, KLAUS JOCHEN OTTO;
2018

Abstract

We characterize the spectrum (and its parts) of operators which can be represented as "G=A+BC" for a "simpler" operator A and a structured perturbation BC. The interest in this kind of perturbations is motivated, e.g., by perturbations of the domain of an operator A but also arises in the theory of closed-loop systems in control theory. In many cases our results yield the spectral values of G as zeros of a "characteristic equation".
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11697/110462
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