Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On Pietsch measures for summing operators and dominated polynomials   We relate the injectivity of the canonical map from $C(B_{E'})$ to
$L_p(\mu)$, where $\mu$ is a regular Borel probability measure on the closed
unit ball $B_{E'}$ of the dual $E'$ of a Banach space $E$ endowed with the
weak* topology, to the existence of injective $p$-summing linear
operators/$p$-dominated homogeneous polynomials defined on $E$ having $\mu$ as
a Pietsch measure. As an application we fill the gap in the proofs of some
results of concerning Pietsch-type factorization of dominated polynomials.

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The categories of this paper are: chem-ph
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The categories of this paper are: acc-phys
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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: econ
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The categories of this paper are: alg-geom
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The categories of this paper are: patt-sol
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The categories of this paper are: nlin
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The categories of this paper are: ao-sci
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The categories of this paper are: eess
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The categories of this paper are: bayes-an
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The categories of this paper are: nucl-ex
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The categories of this paper are: adap-org
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The categories of this paper are: quant-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-ex