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Mathematics > Spectral Theory

arXiv:0708.0854 (math)
[Submitted on 6 Aug 2007]

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

Authors:Igor Cialenco
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Abstract: Finiteness 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.
Subjects: Spectral Theory (math.SP); Functional Analysis (math.FA)
MSC classes: 47A10, 47A55, 47A75, 47E05, 34L10
Cite as: arXiv:0708.0854 [math.SP]
  (or arXiv:0708.0854v1 [math.SP] for this version)
  https://doi.org/10.48550/arXiv.0708.0854

Submission history

From: Igor Cialenco [view email]
[v1] Mon, 6 Aug 2007 23:25:03 UTC (11 KB)
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