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Limit points of eigenvalues of truncated unbounded tridiagonal operators

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Central European Journal of Mathematics

Abstract

Let T be a self-adjoint tridiagonal operator in a Hilbert space H with the orthonormal basis {e n } ∞ n=1 , σ(T) be the spectrum of T and Λ(T) be the set of all the limit points of eigenvalues of the truncated operator T N . We give sufficient conditions such that the spectrum of T is discrete and σ(T) = Λ(T) and we connect this problem with an old problem in analysis.

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Authors and Affiliations

  1. Department of Mathematics, University of Patras, 26500, Patras, Greece

    E.K. Ifantis, C.G. Kokologiannaki & E. Petropoulou

Authors
  1. E.K. Ifantis
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  2. C.G. Kokologiannaki
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  3. E. Petropoulou
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Ifantis, E., Kokologiannaki, C. & Petropoulou, E. Limit points of eigenvalues of truncated unbounded tridiagonal operators. centr.eur.j.math. 5, 335–344 (2007). https://doi.org/10.2478/s11533-007-0009-1

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  • DOI: https://doi.org/10.2478/s11533-007-0009-1

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