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

Voir la notice de l'article provenant de la source Math-Net.Ru

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. 
@article{FAA_2003_37_2_a9,
     author = {A. S. Tikhonov},
     title = {Spectral {Components} of {Operators} with {Spectrum} on a {Curve}},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
     pages = {90--91},
     publisher = {mathdoc},
     volume = {37},
     number = {2},
     year = {2003},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FAA_2003_37_2_a9/}
}
TY  - JOUR
AU  - A. S. Tikhonov
TI  - Spectral Components of Operators with Spectrum on a Curve
JO  - Funkcionalʹnyj analiz i ego priloženiâ
PY  - 2003
SP  - 90
EP  - 91
VL  - 37
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/FAA_2003_37_2_a9/
LA  - ru
ID  - FAA_2003_37_2_a9
ER  - 
%0 Journal Article
%A A. S. Tikhonov
%T Spectral Components of Operators with Spectrum on a Curve
%J Funkcionalʹnyj analiz i ego priloženiâ
%D 2003
%P 90-91
%V 37
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/FAA_2003_37_2_a9/
%G ru
%F FAA_2003_37_2_a9
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/