Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Fractional powers on noncommutative $L_p$ for $p<1$   We prove that the homogeneous functional calculus associated to $x\mapsto
|x|^\theta$ or $x\mapsto {\rm sgn}\, (x) |x|^{\theta}$ for $0<\theta<1$ is
$\theta$-H\"older on selfadjoint elements of noncommutative $L_p$-spaces for
$0<p\leq\infty$ with values in $L_{p/\theta}$. This extends an inequality of
Birman, Koplienko and Solomjak also obtained by Ando.

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The categories of this paper are: nucl-th
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The categories of this paper are: hep-ex
35
The categories of this paper are: mtrl-th
28
The categories of this paper are: alg-geom
3
The categories of this paper are: physics
26
The categories of this paper are: bayes-an
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The categories of this paper are: stat
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The categories of this paper are: adap-org
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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: q-alg
34
The categories of this paper are: chem-ph
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The categories of this paper are: solv-int
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The categories of this paper are: atom-ph
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The categories of this paper are: supr-con
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The categories of this paper are: nlin