Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Lieb-Thirring Inequalities for Finite and Infinite Gap Jacobi Matrices   We establish Lieb-Thirring power bounds on discrete eigenvalues of Jacobi
operators for Schatten class perturbations under very general assumptions. Our
results apply, in particular, to perturbations of reflectionless Jacobi
operators with finite gap and Cantor-type essential spectrum.

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The categories of this paper are: mtrl-th
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The categories of this paper are: astro-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: acc-phys
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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-th
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The categories of this paper are: eess
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The categories of this paper are: q-alg
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The categories of this paper are: hep-lat
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The categories of this paper are: cs
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The categories of this paper are: econ
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The categories of this paper are: atom-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: cond-mat
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The categories of this paper are: ao-sci
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The categories of this paper are: gr-qc