Inequalities for the Eigenvalues of Non-Selfadjoint Jacobi Operators |
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Authors: | Marcel Hansmann Guy Katriel |
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Institution: | 1. Institute of Mathematics, Technical University of Clausthal, 38678, Clausthal-Zellerfeld, Germany
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Abstract: | We prove Lieb-Thirring-type bounds on eigenvalues of non-selfadjoint Jacobi operators, which are nearly as strong as those
proven previously for the case of selfadjoint operators by Hundertmark and Simon. We use a method based on determinants of
operators and on complex function theory, extending and sharpening earlier work of Borichev, Golinskii and Kupin. |
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Keywords: | |
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