Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Estimating Dixmier traces of Hankel operators in Lorentz ideals   In this paper we study Dixmier traces of powers of Hankel operators in
Lorentz ideals. We extend results of Engli\v{s}-Zhang to the case of powers
$p\geq 1$ and general Lorentz ideals starting from abstract extrapolation
results of Gayral-Sukochev. In the special case $p=2,4,6$ we give an exact
formula for the Dixmier trace. For general $p$, we give upper and lower bounds
on the Dixmier trace. We also construct, for any $p$ and any Lorentz ideal,
examples of non-measurable Hankel operators.

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The categories of this paper are: cond-mat
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The categories of this paper are: q-alg
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The categories of this paper are: plasm-ph
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The categories of this paper are: funct-an
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The categories of this paper are: cs
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The categories of this paper are: solv-int
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The categories of this paper are: q-fin
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The categories of this paper are: hep-lat
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The categories of this paper are: nucl-ex
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The categories of this paper are: q-bio
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-th
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The categories of this paper are: hep-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: supr-con
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The categories of this paper are: nucl-th