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Villanueva, Ignacio ; Bombal Gordón, Fernando | Faculty of Mathematics and Computer Science of Adam Mickiewicz University | 1998Let E1, . . . ,Ed be Banach spaces such that all linear operators from Ei into E_j (i 6= j) are weakly compact. The authors show that every continuous d-linear operator T on E1 × • • • × Ed to a Banach space F possesses a unique bounded multilin[...]