Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Approximately order zero maps between C*-algebras   We investigate linear operators between C$^\ast$-algebras which approximately
preserve involution and orthogonality, the latter meaning that for some
$\varepsilon>0$ we have $\|\phi(x)\phi(y)\|\leq\varepsilon\|x\|\|y\|$ for all
positive $x,y$ with $xy=0$. We establish some structural properties of such
maps concerning approximate Jordan-like equations and almost commutation
relations. In some situations (e.g. when the codomain is finite-dimensional),
we show that $\phi$ can be approximated by an approximate Jordan
$^\ast$-homomorphism, with both errors depending only on $\|\phi\|$ and
$\varepsilon$.

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The categories of this paper are: q-fin
29
The categories of this paper are: funct-an
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The categories of this paper are: hep-th
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The categories of this paper are: astro-ph
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The categories of this paper are: chao-dyn
31
The categories of this paper are: ao-sci
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The categories of this paper are: acc-phys
5
The categories of this paper are: gr-qc
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The categories of this paper are: q-alg
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The categories of this paper are: cond-mat
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The categories of this paper are: dg-ga
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The categories of this paper are: eess
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The categories of this paper are: q-bio
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The categories of this paper are: physics
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The categories of this paper are: alg-geom
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The categories of this paper are: bayes-an