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Uspekhi Mat. Nauk, 2006, Volume 61, Issue 5(371), Pages 89–156 (Mi umn4833)  

This article is cited in 55 scientific papers (total in 55 papers)

Traces of operators

V. A. Sadovnichii, V. E. Podolskii

M. V. Lomonosov Moscow State University

Abstract: This survey is devoted to the history and the current state of the theory of regularized traces of linear operators. The main focus is on operators with discrete spectrum. Several appendices are devoted to closely related areas of spectral theory and to the formulation of some important unsolved problems.


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English version:
Russian Mathematical Surveys, 2006, 61:5, 885–953

Bibliographic databases:

UDC: 517.984
MSC: Primary 47A55; Secondary 34L10, 47A10, 34B24, 40G10
Received: 23.04.2006

Citation: V. A. Sadovnichii, V. E. Podolskii, “Traces of operators”, Uspekhi Mat. Nauk, 61:5(371) (2006), 89–156; Russian Math. Surveys, 61:5 (2006), 885–953

Citation in format AMSBIB
\by V.~A.~Sadovnichii, V.~E.~Podolskii
\paper Traces of operators
\jour Uspekhi Mat. Nauk
\yr 2006
\vol 61
\issue 5(371)
\pages 89--156
\jour Russian Math. Surveys
\yr 2006
\vol 61
\issue 5
\pages 885--953

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    1. Guliyev N.J., “Essentially Isospectral Transformations and Their Applications”, Ann. Mat. Pura Appl.  crossref  isi
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    4. V. A. Sadovnichii, V. E. Podol'skii, “Traces of operators with a relatively compact perturbation”, Differ. Equ., 44:5 (2008), 712–716  crossref  mathscinet  zmath  isi  elib  elib  scopus
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    26. Bayramov A. Caliskan S.K. Akgun F.A., “The Second Regularized Trace of Differential Operator Equation with the Semi-Periodic Boundary Conditions”, Math. Meth. Appl. Sci., 35:18 (2012), 2185–2197  crossref  mathscinet  zmath  isi  elib  scopus
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