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RESEARCH PRODUCT

Factorization of (q,p)-summing polynomials through Lorentz spaces

Pilar RuedaE. A. Sánchez PérezMieczysław Mastyło

subject

Discrete mathematicsMathematics::Functional AnalysisPure mathematicsApplied MathematicsDiscrete orthogonal polynomials010102 general mathematicsBanach space010103 numerical & computational mathematics01 natural sciencesClassical orthogonal polynomialsDifference polynomialsFactorizationPisier's theoremWilson polynomialsOrthogonal polynomialsSymmetric tensorSumming polynomialsFactorization0101 mathematicsMATEMATICA APLICADAAnalysisMathematics

description

[EN] We present a vector valued duality between factorable (q,p)-summing polynomials and (q,p)-summing linear operators on symmetric tensor products of Banach spaces. Several applications are provided. First, we prove a polynomial characterization of cotype of Banach spaces. We also give a variant of Pisier's factorization through Lorentz spaces of factorable (q,p)-summing polynomials from C(K)-spaces. Finally, we show a coincidence result for (q,p)-concave polynomials.(c) 2016 Elsevier Inc. All rights reserved.

yearjournalcountryeditionlanguage
2017-05-01Journal of Mathematical Analysis and Applications
https://doi.org/10.1016/j.jmaa.2016.12.005