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

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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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     author = {R. S. Ismagilov and A. G. Kostyuchenko},
     title = {Perturbation of the {Spectrum} of a {Differential} {Operator} under a {Bounded} {Perturbation} of the {Potential}},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
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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/