Comparison of Non-Commutative 2- and -Summing Operators from into
L. Mezrag
M'Sila University, Tunisia
![Comparison of Non-Commutative 2- and $p$-Summing Operators from $B(l_2)$ into $OH$ cover](/_next/image?url=https%3A%2F%2Fcontent.ems.press%2Fassets%2Fpublic%2Fimages%2Fserial-issues%2Fcover-zaa-volume-21-issue-3.png&w=3840&q=90)
Abstract
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. 709–717
DOI 10.4171/ZAA/1104