Comparison of Non-Commutative 2- and $p$-Summing Operators from $B(l_2)$ into $OH$

In the theory of p-summing operators studied by Pietsch we know that π2(C(K), H) = πp(C(K), H) for any Hilbert space H and any p such that 2 < p < +∞. In this paper we prove that this equality is not true in the same notion generalized by Junge and Pisier to operator spaces, i.e. πl2(B(l2), OH) (= π 0 2(B(l2), OH)) 6= πlp(B(l2), OH).