Achour, D.Dahia, E.Rueda, P.Sánchez Pérez, Enrique Alfonso2020-09-182020-09-1820161607-3606https://riunet.upv.es/handle/10251/150365[EN] It is well known that not every summability property for multilinear operators leads to a factorization theorem. In this paper we undertake a detailed study of factorization schemes for summing linear and nonlinear operators. Our aim is to integrate under the same theory a wide family of classes of mappings for which a Pietsch type factorization theorem holds. Our construction includes the cases of absolutely p-summing linear operators, (p, sigma)-absolutely continuous linear operators, factorable strongly p-summing multilinear operators, (p(1), ... , p(n))-dominated multilinear operators and dominated (p(1), ... , p(n); sigma)-continuous multilinear operators.Reserva de todos los derechosPietsch's domination theoremFactorization of operatorsMultilinear summing operatorsMATEMATICA APLICADADomination spaces and factorization of linear and multilinear summing operatorsArtículo10.2989/16073606.2016.1253627Abierto