Geodesic
Spectral Components of Operators with Spectrum on a Curve
Funkcionalʹnyj analiz i ego priloženiâ, Tome 37 (2003) no. 2, pp. 90-91.

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Trace class perturbations of normal operators with spectrum on a curve and spectral components of such operators are studied. We establish duality relations for the spectral components of an operator and its adjoint. The generalized Sz.-Nagy–Foiaş–Naboko functional model introduced in the paper is a basic tool for this theorem. The results have applications in nonself-adjoint scattering theory and to extreme factorizations of $J$-contraction-valued functions ($J$-inner-outer and $A$-regular-singular factorizations).
Keywords: spectral component, spectrum, operator, functional model. 
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A. S. Tikhonov. Spectral Components of Operators with Spectrum on a Curve. Funkcionalʹnyj analiz i ego priloženiâ, Tome 37 (2003) no. 2, pp. 90-91. http://geodesic.mathdoc.fr/item/FAA_2003_37_2_a9/

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