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Similarity techniques in the spectral analysis of perturbed operator matrices

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Abstract We develop the method of similar operators to study the spectral properties of unbounded perturbed linear operators that can be represented by matrices of various kinds. The class of… Click to show full abstract

Abstract We develop the method of similar operators to study the spectral properties of unbounded perturbed linear operators that can be represented by matrices of various kinds. The class of operators under consideration includes various differential operators with an involution, such as one-dimensional Dirac operators of a certain type.

Keywords: techniques spectral; perturbed operator; similarity techniques; analysis; analysis perturbed; spectral analysis

Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2019

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