English

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

Functional Analysis 2015-03-12 v6 Operator Algebras

Abstract

The operator space OUMD\text{OUMD} property was introduced by Pisier in the context of vector-valued noncommutative LpL_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 OUMDq\text{OUMD}_q property for non-commutative LpL_p-spaces.

Cite

@article{arxiv.1107.4941,
  title  = {On the $\text{OUMD}$ property for the column Hilbert space $C$},
  author = {Yanqi Qiu},
  journal= {arXiv preprint arXiv:1107.4941},
  year   = {2015}
}

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