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arXiv · 1107.4941

On the $\text{OUMD}$ property for the column Hilbert space $C$

Yanqi Qiu
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Abstract

The operator space $\text{OUMD}$ 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 $\text{OUMD}_q$ property for non-commutative $L_p$-spaces.

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Yanqi Qiu. 2013-01-05. On the $\text{OUMD}$ property for the column Hilbert space $C$. https://arxiv.org/abs/1107.4941

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