Factorization of (q, p)-summing polynomials through Lorentz spaces
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https://riunet.upv.es/handle/10251/149074
Cita bibliográfica
Mastylo, M.; Rueda, P.; Sánchez Pérez, EA. (2017). Factorization of (q, p)-summing polynomials through Lorentz spaces. Journal of Mathematical Analysis and Applications. 449(1):195-206. https://doi.org/10.1016/j.jmaa.2016.12.005
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[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.
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Journal of Mathematical Analysis and Applications issn: 0022-247X