On the operator space $OUMD$ property for the column Hilbert space $C$ Yanqi Qiu 46L07operator space $OUMD$column Hilbert spacenoncommutative $L_p$ spaces 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. Indiana University Mathematics Journal 2012 text pdf 10.1512/iumj.2012.61.4807 10.1512/iumj.2012.61.4807 en Indiana Univ. Math. J. 61 (2012) 2143 - 2156 state-of-the-art mathematics http://iumj.org/access/