Comparison of non-commutative 2- and \(p\)-summing operators from \(B(l_2)\) into \(OH\)
Summary: In the theory of \(p\)-summing operators studied by Pietsch we know that \[ \pi_2(C(K),H)= \pi_p(C(K), H) \] for any Hilbert space \(H\) and any \(p\) such that \(2<p<+ \infty\). In this paper, we prove that this equality is not true for the same notion generalized by Junge and Pisier to operator spaces, i.e., \(\pi_{l_2} (B(l_2),OH) (=\pi_2^0(B(l_2),OH)) \neq\pi_{l_p} (B(l_2), OH)\).
scientific article; zbMATH DE number 1827607
scientific article