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arxiv: 0706.3716 · v1 · submitted 2007-06-25 · 🧮 math-ph · math.MP· math.SP

Lieb--Thirring bounds for complex Jacobi matrices

classification 🧮 math-ph math.MPmath.SP
keywords boundscomplexjacobilieb--thirringmatricesclassicalfairlyfan-mirski
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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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