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Limit points of eigenvalues of truncated unbounded tridiagonal operators

E.K. IfantisC.G. KokologiannakiE. Petropoulou — 2007

Open Mathematics

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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