Inequalities for the eigenvalues of non-selfadjoint Jacobi operators

Details Inequalities for the eigenvalues of non-selfadjoint Jacobi operators Inequalities for the eigenvalues of non-selfadjoint Jacobi operators

2009-01-13

arxiv.org/abs/0901.1725v1

Complex Analysis and Operator Theory: Volume 5, Issue 1 (2011), Page 197

Mathematics

Spectral Theory

Scientific paper

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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