Spectral Components of Operators with Spectrum on a Curve |
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Authors: | A S Tikhonov |
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Institution: | (1) Taurida National University, Ukraine |
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Abstract: | 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–Foia–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). |
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Keywords: | spectral component spectrum operator functional model |
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