Geodesic
Perturbation of the Spectrum of a Differential Operator under a Bounded Perturbation of the Potential
Funkcionalʹnyj analiz i ego priloženiâ, Tome 43 (2009) no. 3, pp. 54-64 Cet article a éte moissonné depuis la source Math-Net.Ru

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We consider a perturbation of a differential operator by a bounded measurable function. We prove that if a certain mean of this function has a limit, then the sequence of Cesaro means of the perturbation of the spectrum has the same limit.
Keywords: spectrum, averaging, Green function.
Mots-clés : perturbation 
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R. S. Ismagilov; A. G. Kostyuchenko. Perturbation of the Spectrum of a Differential Operator under a Bounded Perturbation of the Potential. Funkcionalʹnyj analiz i ego priloženiâ, Tome 43 (2009) no. 3, pp. 54-64. http://geodesic.mathdoc.fr/item/FAA_2009_43_3_a4/

[1] A. G. Kostyuchenko, “Asimptoticheskoe povedenie spektralnoi funktsii samosopryazhennykh ellipticheskikh operatorov”, Chetvertaya matematicheskaya shkola, Kiev, 1968, 42–117 | Zbl

[2] V. A. Sadovnichii, V. E. Podolskii, “Sledy operatorov”, UMN, 61:5(371) (2006), 89–156 | DOI | MR | Zbl

[3] V. E. Podolskii, “O sledakh vozmuschennoi operatornoi polugruppy”, Matem. zametki, 75:3 (2004), 462–466 | DOI | MR | Zbl

[4] S. V. Eidelman, Parabolicheskie sistemy, Nauka, M., 1964 | MR

[5] I. Ts. Gokhberg, M. G. Krein, Vvedenie v teoriyu nesamosopryazhennykh operatorov, Nauka, M., 1965

[6] D. Borwein, “Tauberian theory, a century of developments, by Jacob Korevaar”, Bull. Amer. Math. Soc., 42:3, 401–406 | DOI | MR