RT Journal Article T1 Multilinear extensions of Grothendieck’s theorem A1 Villanueva Díez, Ignacio A1 Bombal Gordon, Fernando A1 Pérez García, David AB We 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. PB Oxford University Press SN 1464-3847 YR 2004 FD 2004 LK https://hdl.handle.net/20.500.14352/49445 UL https://hdl.handle.net/20.500.14352/49445 LA eng NO Bombal 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. NO Dirección General de Investigación Científica y Técnica (España) DS Docta Complutense RD 22 mar 2026