In the theory of -summing operators studied by Pietsch we know that for any Hilbert space and any such that . 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. .
Cite this article
L. Mezrag, Comparison of Non-Commutative 2- and -Summing Operators from into . Z. Anal. Anwend. 21 (2002), no. 3, pp. 709–717DOI 10.4171/ZAA/1104