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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2006, Volume 12, Number 2, Pages 162–177 (Mi timm161)  
This article is cited in 5 scientific papers (total in 5 papers)

Regularized traces of discrete operators

V. A. Sadovnichii, V. E. Podolskii
Full-text PDF (315 kB) Citations (5)
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Abstract: 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.
Received: 02.05.2006
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2006, Volume 255, Issue 2, Pages S161–S177
DOI: https://doi.org/10.1134/S0081543806060149
Bibliographic databases:
Document Type: Article
UDC: 517.984
Language: Russian
Citation: V. A. Sadovnichii, V. E. Podolskii, “Regularized traces of discrete operators”, Control, stability, and inverse problems of dynamics, Trudy Inst. Mat. i Mekh. UrO RAN, 12, no. 2, 2006, 162–177; Proc. Steklov Inst. Math. (Suppl.), 255, suppl. 2 (2006), S161–S177
Citation in format AMSBIB
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\by V.~A.~Sadovnichii, V.~E.~Podolskii
\paper Regularized traces of discrete operators
\inbook Control, stability, and inverse problems of dynamics
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2006
\vol 12
\issue 2
\pages 162--177
\mathnet{http://mi.mathnet.ru/timm161}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2338255}
\zmath{https://zbmath.org/?q=an:1135.47031}
\elib{https://elibrary.ru/item.asp?id=12040746}
\transl
\jour Proc. Steklov Inst. Math. (Suppl.)
\yr 2006
\vol 255
\issue , suppl. 2
\pages S161--S177
\crossref{https://doi.org/10.1134/S0081543806060149}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33847000574}
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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