Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Minkowski additive operators under volume constraints   We investigate Minkowski additive, continuous, and translation invariant
operators $\Phi:\mathcal{K}^n\to\mathcal{K}^n$ defined on the family of convex
bodies such that the volume of the image $\Phi(K)$ is bounded from above and
below by multiples of the volume of the convex body $K$, uniformly in $K$. We
obtain a representation result for an infinite subcone contained in the cone
formed by this type of operators. Under the additional assumption of
monotonicity or $SO(n)$-equivariance, we obtain new characterization results
for the difference body operator.

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The categories of this paper are: q-alg
1
The categories of this paper are: cs
18
The categories of this paper are: econ
13
The categories of this paper are: quant-ph
27
The categories of this paper are: comp-gas
31
The categories of this paper are: ao-sci
21
The categories of this paper are: adap-org
35
The categories of this paper are: mtrl-th
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The categories of this paper are: alg-geom
10
The categories of this paper are: q-bio
4
The categories of this paper are: cond-mat
16
The categories of this paper are: stat
8
The categories of this paper are: hep-ex
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The categories of this paper are: hep-th
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The categories of this paper are: chem-ph
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The categories of this paper are: eess