Lieb--Thirring bounds for complex Jacobi matrices

Details Lieb--Thirring bounds for complex Jacobi matrices Lieb--Thirring bounds for complex Jacobi matrices

2007-06-25

arxiv.org/abs/0706.3716v1

Physics

Mathematical Physics

10 pages, 1 figure; a preliminary version

Scientific paper

We obtain various versions of classical Lieb--Thirring bounds for one- and
multi-dimensional complex Jacobi matrices. Our method is based on Fan-Mirski
Lemma and seems to be fairly general.

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