Geodesic
Regularized traces of discrete operators
Trudy Instituta matematiki i mehaniki, Control, stability, and inverse problems of dynamics, Tome 12 (2006) no. 2, pp. 162-177

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Unbounded perturbations of discrete operators are considered. Formulas for regularized traces are obtained, in which a finite number of corrections of the perturbation theory are used. An exact relation is established between the degree of subordination of a perturbation to the unperturbed operator and the number of corrections necessary for the existence of a finite formula of the trace. New estimates for the kernel norm of a resolvent of discrete operators are obtained. 
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     author = {V. A. Sadovnichii and V. E. Podolskii},
     title = {Regularized traces of discrete operators},
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     url = {http://geodesic.mathdoc.fr/item/TIMM_2006_12_2_a14/}
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V. A. Sadovnichii; V. E. Podolskii. Regularized traces of discrete operators. Trudy Instituta matematiki i mehaniki, Control, stability, and inverse problems of dynamics, Tome 12 (2006) no. 2, pp. 162-177. http://geodesic.mathdoc.fr/item/TIMM_2006_12_2_a14/