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arxiv: 0908.2188 · v1 · submitted 2009-08-15 · 🧮 math.SP

On the discrete spectrum of non-selfadjoint operators

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keywords operatorsboundseigenvaluesnon-selfadjointappliedcomplexdiscretedistribution
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We prove quantitative bounds on the eigenvalues of non-selfadjoint unbounded operators obtained from selfadjoint operators by a perturbation that is relatively-Schatten. These bounds are applied to obtain new results on the distribution of eigenvalues of Schroedinger operators with complex potentials.

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