On the discrete spectrum of non-selfadjoint operators |
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Authors: | Michael Demuth Marcel Hansmann Guy Katriel |
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Affiliation: | aInstitute of Mathematics, Clausthal University of Technology, 38678 Clausthal-Zellerfeld, Germany |
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Abstract: | 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 Schrödinger operators with complex potentials. |
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Keywords: | Non-selfadjoint operators Eigenvalues Schrö dinger operators Complex potentials |
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