Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dilation invariant Banach limits   We study two subclasses of Banach limits: the one consisting of Banach limits
which are invariant with respect of the Ces\`aro operator and another one
consists of Banach limits which are invariant with respect to all dilations. We
prove that the first is a proper subset of the second. We also show that these
classes are at the maximal distance from the set ${\rm ext} \mathfrak B$ of all
extreme points of the set of all Banach limits.

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The categories of this paper are: cond-mat
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The categories of this paper are: q-bio
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The categories of this paper are: q-fin
0
The categories of this paper are: hep-ph
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The categories of this paper are: dg-ga
1
The categories of this paper are: cs
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The categories of this paper are: alg-geom
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The categories of this paper are: physics
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The categories of this paper are: patt-sol
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The categories of this paper are: acc-phys
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The categories of this paper are: ao-sci
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The categories of this paper are: funct-an
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The categories of this paper are: solv-int
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The categories of this paper are: hep-lat
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The categories of this paper are: stat
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The categories of this paper are: adap-org