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JOURNALS // Funktsional'nyi Analiz i ego Prilozheniya // Archive

Funktsional. Anal. i Prilozhen., 2009 Volume 43, Issue 3, Pages 54–64 (Mi faa2965)

This article is cited in 2 papers

Perturbation of the Spectrum of a Differential Operator under a Bounded Perturbation of the Potential

R. S. Ismagilova, A. G. Kostyuchenkob

a N. E. Bauman Moscow State Technical University
b M. V. Lomonosov Moscow State University

Abstract: 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, perturbation, averaging, Green function.

UDC: 517.98

Received: 17.05.2009

DOI: 10.4213/faa2965


 English version:
Functional Analysis and Its Applications, 2009, 43:3, 208–216

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