Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Equivalence between estimates for quasi-commutators and commutators   In this short note we show that under some mild conditions on the space and
the operators, an estimate for $\|Sf(A) - f(B)S\|$ needs only to be studied for
invertible $S$ and $B$ equal to $A$. Thus estimates for a quasi-commutator can
be derived from that for the commutator.

12
The categories of this paper are: nucl-th
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The categories of this paper are: econ
9
The categories of this paper are: nlin
24
The categories of this paper are: dg-ga
31
The categories of this paper are: ao-sci
11
The categories of this paper are: hep-lat
29
The categories of this paper are: funct-an
13
The categories of this paper are: quant-ph
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The categories of this paper are: hep-th
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The categories of this paper are: math-ph
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The categories of this paper are: adap-org
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The categories of this paper are: solv-int
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The categories of this paper are: gr-qc
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The categories of this paper are: bayes-an
6
The categories of this paper are: astro-ph
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The categories of this paper are: mtrl-th