IUMJ

Title: On the operator space $OUMD$ property for the column Hilbert space $C$

Authors: Yanqi Qiu

Issue: Volume 61 (2012), Issue 6, 2143-2156

Abstract:

The operator space $\OUMD$ property was introduced by Pisier in the context of vector-valued noncommutative $L_p$-spaces. It is an open problem whether the column Hilbert space has this property. Based on some complex interpolation techniques, we are able to relate this problem to the study of the $\OUMD_q$ property for noncommutative $L_p$-spaces.