Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Similarity problems, Folner sets and isometric representations of
  amenable semigroups   We revisit Sz.-Nagy's criteria for similarity of Hilbert space bounded linear
operators to isometries or unitaries and present new ones. We also discuss
counterparts of the Dixmier-Day theorem concerning bounded representations of
amenable groups and semigroups. We highlight the role of Folner sets in
similarity problems in both settings of unimodular, $\sigma$-compact, amenable
groups and in discrete semigroups possessing the Strong Folner condition (SFC).

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The categories of this paper are: chao-dyn
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The categories of this paper are: nucl-th
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The categories of this paper are: q-fin
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The categories of this paper are: alg-geom
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The categories of this paper are: cond-mat
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The categories of this paper are: q-bio
30
The categories of this paper are: q-alg
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The categories of this paper are: math-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: eess
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The categories of this paper are: mtrl-th
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The categories of this paper are: supr-con
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The categories of this paper are: nlin
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The categories of this paper are: bayes-an
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The categories of this paper are: quant-ph
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The categories of this paper are: patt-sol