%0 Journal Article %A Villanueva Díez, Ignacio %A Bombal Gordon, Fernando %A Pérez García, David %T Multilinear extensions of Grothendieck’s theorem %D 2004 %@ 1464-3847 %U https://hdl.handle.net/20.500.14352/49445 %X 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. %~