Villanueva Díez, IgnacioBombal Gordon, FernandoPérez García, David2023-06-202023-06-202004Bombal Gordon, F., Villanueva Díez, I. & Pérez García, D. «Multilinear Extensions of Grothendieck’s Theorem». The Quarterly Journal of Mathematics, vol. 55, n.o 4, diciembre de 2004, pp. 441-50. DOI.org (Crossref), https://doi.org/10.1093/qmath/hah017.1464-384710.1093/qmath/hah017https://hdl.handle.net/20.500.14352/49445We introduce a new class of multilinear p-summing operators, which we call multiple p-summing. Using them, we can prove several multilinear generalizations of Grothendieck’s “fundamental theorem of the metric theory of tensor products”. Several applications and improvements of previous results are given.engjournal articlehttps//doi.org/10.1093/qmath/hah017http://qjmath.oxfordjournals.org/archive/open access517Multiple absolutely summing multilinear mappingsGrothendieck’s theoremAnálisis matemático1202 Análisis y Análisis Funcional