ملخص: Let SB(X,Y) be the set of the bounded sublinear operators from a Banach space X into a Banach lattice Y. Consider [pi]2(X,Y) the set of 2-summing sublinear operators. We study in this paper a variation of Grothendieck's theorem in the sublinear operators case. We prove under some conditions that every operator in SB(C(K),H) is in [pi]2(C(K),H) for any compact K and any Hilbert H. In the noncommutative case the problem is still open.

لغة: إنجليزية