Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Representations of logmodular algebras   We study the question of whether or not contractive representations of
logmodular algebras are completely contractive. We prove that a 2-contractive
representation of a logmodular algebra extends to a positive map on the
enveloping C*-algebra, which we show generalizes a result of Foias and Suciu on
uniform logmodular algebras. Our proof uses non-commutative operator space
generalizations of classical results on 2-summing maps and semispectral
measures. We establish some matrix factorization results for uniform logmodular
algebras

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The categories of this paper are: math-ph
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The categories of this paper are: funct-an
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The categories of this paper are: adap-org
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The categories of this paper are: chem-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: gr-qc
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The categories of this paper are: cond-mat
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-ph
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The categories of this paper are: nlin
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The categories of this paper are: q-bio
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The categories of this paper are: comp-gas
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The categories of this paper are: q-fin
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The categories of this paper are: bayes-an
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The categories of this paper are: physics