On the point spectrum of some perturbed differential operators with periodic coefficients

dc.creatorCialenco, Igor
dc.date2007-08-06
dc.date.accessioned2026-07-07T08:22:33Z
dc.date.available2026-07-07T08:22:33Z
dc.descriptionFiniteness of the point spectrum of linear operators acting in a Banach space is investigated from point of view of perturbation theory. In the first part of the paper we present an abstract result based on analytical continuation of the resolvent function through continuous spectrum. In the second part, the abstract result is applied to differential operators which can be represented as a differential operator with periodic coefficients perturbed by an arbitrary subordinated differential operator.
dc.identifierhttps://arxiv.org/abs/0708.0854
dc.identifierhttp://arxiv.org/abs/0708.0854
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/135686
dc.subjectSpectral Theory
dc.subjectFunctional Analysis
dc.subject47A10, 47A55, 47A75, 47E05, 34L10
dc.titleOn the point spectrum of some perturbed differential operators with periodic coefficients
dc.typetext

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